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Finding the Third Proportional to 31,103,624 and 67,867,204

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Solution

The third proportional to 31,103,624 and 67,867,204 is: 148,084,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103,624 : 67,867,204 = 67,867,204 : x
  2. Step 2: Convert to fraction form
    31,103,624/67,867,204 = 67,867,204/x
  3. Step 3: Cross multiply
    31,103,624x = 67,867,204 × 67,867,204
  4. Step 4: Simplify right side
    31,103,624x = 4,605,957,378,777,616
  5. Step 5: Solve for x
    x = 4,605,957,378,777,616/31,103,624
  6. Step 6: Final answer
    x = 148,084,267.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.