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Finding the Third Proportional to 31,266,064.13 and 67,914,468.56

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Solution

The third proportional to 31,266,064.13 and 67,914,468.56 is: 147,520,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,266,064.13 : 67,914,468.56 = 67,914,468.56 : x
  2. Step 2: Convert to fraction form
    31,266,064.13/67,914,468.56 = 67,914,468.56/x
  3. Step 3: Cross multiply
    31,266,064.13x = 67,914,468.56 × 67,914,468.56
  4. Step 4: Simplify right side
    31,266,064.13x = 4,612,375,040,126,801
  5. Step 5: Solve for x
    x = 4,612,375,040,126,801/31,266,064.13
  6. Step 6: Final answer
    x = 147,520,168.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.