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Finding the Third Proportional to 57,770,900,214 and 125,797,847,502

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Solution

The third proportional to 57,770,900,214 and 125,797,847,502 is: 273,928,541,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,770,900,214 : 125,797,847,502 = 125,797,847,502 : x
  2. Step 2: Convert to fraction form
    57,770,900,214/125,797,847,502 = 125,797,847,502/x
  3. Step 3: Cross multiply
    57,770,900,214x = 125,797,847,502 × 125,797,847,502
  4. Step 4: Simplify right side
    57,770,900,214x = 15,825,098,436,136,446,984,192
  5. Step 5: Solve for x
    x = 15,825,098,436,136,446,984,192/57,770,900,214
  6. Step 6: Final answer
    x = 273,928,541,489.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.