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Finding the Third Proportional to 62,466,744,234 and 95,163,763,914.38

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Solution

The third proportional to 62,466,744,234 and 95,163,763,914.38 is: 144,975,411,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,466,744,234 : 95,163,763,914.38 = 95,163,763,914.38 : x
  2. Step 2: Convert to fraction form
    62,466,744,234/95,163,763,914.38 = 95,163,763,914.38/x
  3. Step 3: Cross multiply
    62,466,744,234x = 95,163,763,914.38 × 95,163,763,914.38
  4. Step 4: Simplify right side
    62,466,744,234x = 9,056,141,962,350,901,067,776
  5. Step 5: Solve for x
    x = 9,056,141,962,350,901,067,776/62,466,744,234
  6. Step 6: Final answer
    x = 144,975,411,691.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.