Finding the Third Proportional to 5,752,936,406,160 and 12,518,621,367,030
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Solution
The third proportional to 5,752,936,406,160 and 12,518,621,367,030 is: 27,241,024,385,956.25
Step by Step Solution
- Step 1: Write the proportion equation
5,752,936,406,160 : 12,518,621,367,030 = 12,518,621,367,030 : x - Step 2: Convert to fraction form
5,752,936,406,160/12,518,621,367,030 = 12,518,621,367,030/x - Step 3: Cross multiply
5,752,936,406,160x = 12,518,621,367,030 × 12,518,621,367,030 - Step 4: Simplify right side
5,752,936,406,160x = 156,715,880,931,060,079,973,629,952 - Step 5: Solve for x
x = 156,715,880,931,060,079,973,629,952/5,752,936,406,160 - Step 6: Final answer
x = 27,241,024,385,956.25
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.