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Finding the Third Proportional to 71,724,343,390.88 and 156,960,042,767.43

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Solution

The third proportional to 71,724,343,390.88 and 156,960,042,767.43 is: 343,488,052,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,343,390.88 : 156,960,042,767.43 = 156,960,042,767.43 : x
  2. Step 2: Convert to fraction form
    71,724,343,390.88/156,960,042,767.43 = 156,960,042,767.43/x
  3. Step 3: Cross multiply
    71,724,343,390.88x = 156,960,042,767.43 × 156,960,042,767.43
  4. Step 4: Simplify right side
    71,724,343,390.88x = 24,636,455,025,553,453,350,912
  5. Step 5: Solve for x
    x = 24,636,455,025,553,453,350,912/71,724,343,390.88
  6. Step 6: Final answer
    x = 343,488,052,463.48

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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.