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Finding the Third Proportional to 12,932,874 and 17,982,135

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Solution

The third proportional to 12,932,874 and 17,982,135 is: 25,002,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932,874 : 17,982,135 = 17,982,135 : x
  2. Step 2: Convert to fraction form
    12,932,874/17,982,135 = 17,982,135/x
  3. Step 3: Cross multiply
    12,932,874x = 17,982,135 × 17,982,135
  4. Step 4: Simplify right side
    12,932,874x = 323,357,179,158,225
  5. Step 5: Solve for x
    x = 323,357,179,158,225/12,932,874
  6. Step 6: Final answer
    x = 25,002,731.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.