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Titanium is a strong, lightweight, corrosion-resistant metal that is used in rockets, jet engines, and bicycle grams. It is prepared by the reaction of titanium (IV) chloride with molten magnesium between 950 and 1150 degrees C via the following reaction:

TiCl4 (g) + 2Mg (l) --> Ti(s) + 2MgCl2

Suppose 3.54 X 10^7 g of titanium (IV) chloride reacts with 1.13 X 10^7 g of liquid magnesium. If 7.91 x10 ^6 g of solid titanium is produced, what is the percent yield of this reaction?

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