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Finding the Third Proportional to 31,296,936 and 67,221,552

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Solution

The third proportional to 31,296,936 and 67,221,552 is: 144,382,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296,936 : 67,221,552 = 67,221,552 : x
  2. Step 2: Convert to fraction form
    31,296,936/67,221,552 = 67,221,552/x
  3. Step 3: Cross multiply
    31,296,936x = 67,221,552 × 67,221,552
  4. Step 4: Simplify right side
    31,296,936x = 4,518,737,053,288,704
  5. Step 5: Solve for x
    x = 4,518,737,053,288,704/31,296,936
  6. Step 6: Final answer
    x = 144,382,729.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.