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Finding the Third Proportional to 71,724,619,788 and 156,960,585,720

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Solution

The third proportional to 71,724,619,788 and 156,960,585,720 is: 343,489,105,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,788 : 156,960,585,720 = 156,960,585,720 : x
  2. Step 2: Convert to fraction form
    71,724,619,788/156,960,585,720 = 156,960,585,720/x
  3. Step 3: Cross multiply
    71,724,619,788x = 156,960,585,720 × 156,960,585,720
  4. Step 4: Simplify right side
    71,724,619,788x = 24,636,625,469,565,468,409,856
  5. Step 5: Solve for x
    x = 24,636,625,469,565,468,409,856/71,724,619,788
  6. Step 6: Final answer
    x = 343,489,105,168.98

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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.