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Finding the Third Proportional to 31,465,950 and 68,469,384

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Solution

The third proportional to 31,465,950 and 68,469,384 is: 148,988,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465,950 : 68,469,384 = 68,469,384 : x
  2. Step 2: Convert to fraction form
    31,465,950/68,469,384 = 68,469,384/x
  3. Step 3: Cross multiply
    31,465,950x = 68,469,384 × 68,469,384
  4. Step 4: Simplify right side
    31,465,950x = 4,688,056,545,339,456
  5. Step 5: Solve for x
    x = 4,688,056,545,339,456/31,465,950
  6. Step 6: Final answer
    x = 148,988,241.11

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