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Finding the Third Proportional to 62,120,758 and 135,149,723

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Solution

The third proportional to 62,120,758 and 135,149,723 is: 294,031,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,120,758 : 135,149,723 = 135,149,723 : x
  2. Step 2: Convert to fraction form
    62,120,758/135,149,723 = 135,149,723/x
  3. Step 3: Cross multiply
    62,120,758x = 135,149,723 × 135,149,723
  4. Step 4: Simplify right side
    62,120,758x = 18,265,447,626,976,728
  5. Step 5: Solve for x
    x = 18,265,447,626,976,728/62,120,758
  6. Step 6: Final answer
    x = 294,031,306.36

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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.