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Finding the Third Proportional to 12,193,542 and 17,832,561

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Solution

The third proportional to 12,193,542 and 17,832,561 is: 26,079,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193,542 : 17,832,561 = 17,832,561 : x
  2. Step 2: Convert to fraction form
    12,193,542/17,832,561 = 17,832,561/x
  3. Step 3: Cross multiply
    12,193,542x = 17,832,561 × 17,832,561
  4. Step 4: Simplify right side
    12,193,542x = 318,000,231,818,721
  5. Step 5: Solve for x
    x = 318,000,231,818,721/12,193,542
  6. Step 6: Final answer
    x = 26,079,397.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.