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Finding the Third Proportional to 71,645,976 and 155,456,045

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Solution

The third proportional to 71,645,976 and 155,456,045 is: 337,305,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,645,976 : 155,456,045 = 155,456,045 : x
  2. Step 2: Convert to fraction form
    71,645,976/155,456,045 = 155,456,045/x
  3. Step 3: Cross multiply
    71,645,976x = 155,456,045 × 155,456,045
  4. Step 4: Simplify right side
    71,645,976x = 24,166,581,927,042,024
  5. Step 5: Solve for x
    x = 24,166,581,927,042,024/71,645,976
  6. Step 6: Final answer
    x = 337,305,502.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.