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Finding the Third Proportional to 31,534,542 and 67,991,292

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Solution

The third proportional to 31,534,542 and 67,991,292 is: 146,595,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534,542 : 67,991,292 = 67,991,292 : x
  2. Step 2: Convert to fraction form
    31,534,542/67,991,292 = 67,991,292/x
  3. Step 3: Cross multiply
    31,534,542x = 67,991,292 × 67,991,292
  4. Step 4: Simplify right side
    31,534,542x = 4,622,815,787,829,264
  5. Step 5: Solve for x
    x = 4,622,815,787,829,264/31,534,542
  6. Step 6: Final answer
    x = 146,595,304.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.