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Finding the Third Proportional to 71,724,619,799 and 156,960,585,755

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Solution

The third proportional to 71,724,619,799 and 156,960,585,755 is: 343,489,105,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,799 : 156,960,585,755 = 156,960,585,755 : x
  2. Step 2: Convert to fraction form
    71,724,619,799/156,960,585,755 = 156,960,585,755/x
  3. Step 3: Cross multiply
    71,724,619,799x = 156,960,585,755 × 156,960,585,755
  4. Step 4: Simplify right side
    71,724,619,799x = 24,636,625,480,552,707,784,704
  5. Step 5: Solve for x
    x = 24,636,625,480,552,707,784,704/71,724,619,799
  6. Step 6: Final answer
    x = 343,489,105,269.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.