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Finding the Third Proportional to 71,724,619,810 and 156,960,585,764

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Solution

The third proportional to 71,724,619,810 and 156,960,585,764 is: 343,489,105,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,619,810 : 156,960,585,764 = 156,960,585,764 : x
  2. Step 2: Convert to fraction form
    71,724,619,810/156,960,585,764 = 156,960,585,764/x
  3. Step 3: Cross multiply
    71,724,619,810x = 156,960,585,764 × 156,960,585,764
  4. Step 4: Simplify right side
    71,724,619,810x = 24,636,625,483,377,999,347,712
  5. Step 5: Solve for x
    x = 24,636,625,483,377,999,347,712/71,724,619,810
  6. Step 6: Final answer
    x = 343,489,105,256.20

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Why These Related Problems?

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