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Finding the Third Proportional to 38,376,414 and 62,658,610

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Solution

The third proportional to 38,376,414 and 62,658,610 is: 102,305,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376,414 : 62,658,610 = 62,658,610 : x
  2. Step 2: Convert to fraction form
    38,376,414/62,658,610 = 62,658,610/x
  3. Step 3: Cross multiply
    38,376,414x = 62,658,610 × 62,658,610
  4. Step 4: Simplify right side
    38,376,414x = 3,926,101,407,132,100
  5. Step 5: Solve for x
    x = 3,926,101,407,132,100/38,376,414
  6. Step 6: Final answer
    x = 102,305,061.83

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.