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Finding the Third Proportional to 62,729,570 and 135,070,564

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Solution

The third proportional to 62,729,570 and 135,070,564 is: 290,836,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,729,570 : 135,070,564 = 135,070,564 : x
  2. Step 2: Convert to fraction form
    62,729,570/135,070,564 = 135,070,564/x
  3. Step 3: Cross multiply
    62,729,570x = 135,070,564 × 135,070,564
  4. Step 4: Simplify right side
    62,729,570x = 18,244,057,259,278,096
  5. Step 5: Solve for x
    x = 18,244,057,259,278,096/62,729,570
  6. Step 6: Final answer
    x = 290,836,638.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.