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Finding the Third Proportional to 31,037,498 and 67,447,204

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Solution

The third proportional to 31,037,498 and 67,447,204 is: 146,568,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037,498 : 67,447,204 = 67,447,204 : x
  2. Step 2: Convert to fraction form
    31,037,498/67,447,204 = 67,447,204/x
  3. Step 3: Cross multiply
    31,037,498x = 67,447,204 × 67,447,204
  4. Step 4: Simplify right side
    31,037,498x = 4,549,125,327,417,616
  5. Step 5: Solve for x
    x = 4,549,125,327,417,616/31,037,498
  6. Step 6: Final answer
    x = 146,568,686.93

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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.