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Finding the Third Proportional to 52,241,924 and 82,369,542

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Solution

The third proportional to 52,241,924 and 82,369,542 is: 129,871,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,241,924 : 82,369,542 = 82,369,542 : x
  2. Step 2: Convert to fraction form
    52,241,924/82,369,542 = 82,369,542/x
  3. Step 3: Cross multiply
    52,241,924x = 82,369,542 × 82,369,542
  4. Step 4: Simplify right side
    52,241,924x = 6,784,741,449,289,764
  5. Step 5: Solve for x
    x = 6,784,741,449,289,764/52,241,924
  6. Step 6: Final answer
    x = 129,871,584.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.