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Trying to figure the costs and determine whether it makes more sense to just carry silversheen (3gp) and cold iron blanch (10gp, 140gp after you want to improve your weapon to +2 at level 10).
Rule sections:
Under Giant Instinct, Core Rulebook page 87:
“Titan Mauler (Instinct Ability)
You can use a weapon built for a Large creature if you are Small or Medium (both normally and when raging). If you're not Small or Medium, you can use a weapon built for a creature one size larger than you. You gain access to this larger weapon, which can be of any weapon type otherwise available at character creation. It has the normal Price and Bulk for a weapon of its size.”
Under Items of Different Sizes, Core Rulebook page 295:
“Creatures of sizes other than Small or Medium need items appropriate to their size. These items have different Bulk and possibly a different Price. Table 6–20 provides the Price and Bulk conversion for such items.
For example, a morningstar sized for a Medium creature has a Price of 1 gp and 1 Bulk, so one made for a Huge creature has a Price of 4 gp and 4 Bulk. One made for a Tiny creature still costs 1 gp (due to its intricacy) and has 1/2 Bulk, which rounds down to light Bulk.
Because the way that a creature treats Bulk and the Bulk of gear sized for it scale the same way, Tiny or Large (or larger) creatures can usually wear and carry about the same amount of appropriately sized gear as a Medium creature.
Higher-level magic items that cost significantly more than 8 times the cost of a mundane item can use their listed Price regardless of size.
[EMPHASIS] Precious materials, however, have a Price based on the Bulk of the item, so multiply the Bulk value as described on Table 6–20, then use the formula in the precious material’s entry to determine the item’s Price. See page 578 for more information. [END EMPHASIS]
Table 6-20: Differently Sized Objects
Creature Size Price Bulk Light Becomes Negligible Becomes
Tiny Standard Half* — —
Small or Med. Standard Standard L —
Large x2 x2 1 Bulk L
Huge x4 x4 2 Bulk 1 Bulk
Gargantuan x8 x8 4 Bulk 2 Bulk
* An item that would have its Bulk reduced below 1 has light Bulk.”
Then finally, under Cold Iron Weapons, Core Rulebook, page 599:
“Iron
PFS Standard
Cold Iron Weapon (Low-Grade)
Item 2
Source Core Rulebook pg. 599 4.0
Price 40 gp (+4 gp per Bulk)
Craft Requirements at least 20 sp of cold iron + 2 sp per Bulk
PFS Standard
Cold Iron Weapon (Standard-Grade)
Item 10
Source Core Rulebook pg. 599 4.0
Price 880 gp (+88 gp per Bulk)
Craft Requirements at least 110 gp of cold iron + 11 gp per Bulk
PFS Standard
Cold Iron Weapon (High-Grade)
Item 16
Source Core Rulebook pg. 599 4.0
Price 9,000 gp (+900 gp per Bulk)
Craft Requirements at least 4,500 gp of cold iron + 450 gp per Bulk”

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So how does that interact? If the giant instinct barbarian wants a Large low grade cold iron weapon for a weapon that ordinarily has 2 Bulk, a Medium weapon of that sort would cost 48 GP (40 + 4 * 2 Bulk).
Does the Large version cost 96 GP (double), or based on that line in Items of different size, 56 GP (40 + 4 * 4 Bulk after doubling for Large size)?

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Even though the Items of Different Size section explicitly says “Precious materials, however, have a Price based on the Bulk of the item, so multiply the Bulk value as described on Table 6–20, then use the formula in the precious material’s entry to determine the item’s Price”?
If it were just straight x2, why bother including that note at all?

Baarogue |
That note is to remind you to do the math in the correct order. The math that results in 96GP is doubling the base, non-bulk-related cost of the material. You need to FIRST find the bulk, THEN do the math in the precious materials entry, as you did at the end with the 56GP result
40GP (base price, not related to bulk) + 4GP per bulk