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Finding the Third Proportional to 31,377,280 and 67,796,346

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Solution

The third proportional to 31,377,280 and 67,796,346 is: 146,486,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377,280 : 67,796,346 = 67,796,346 : x
  2. Step 2: Convert to fraction form
    31,377,280/67,796,346 = 67,796,346/x
  3. Step 3: Cross multiply
    31,377,280x = 67,796,346 × 67,796,346
  4. Step 4: Simplify right side
    31,377,280x = 4,596,344,530,951,716
  5. Step 5: Solve for x
    x = 4,596,344,530,951,716/31,377,280
  6. Step 6: Final answer
    x = 146,486,391.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.