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Finding the Third Proportional to 12,195,344 and 17,956,092

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Solution

The third proportional to 12,195,344 and 17,956,092 is: 26,438,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195,344 : 17,956,092 = 17,956,092 : x
  2. Step 2: Convert to fraction form
    12,195,344/17,956,092 = 17,956,092/x
  3. Step 3: Cross multiply
    12,195,344x = 17,956,092 × 17,956,092
  4. Step 4: Simplify right side
    12,195,344x = 322,421,239,912,464
  5. Step 5: Solve for x
    x = 322,421,239,912,464/12,195,344
  6. Step 6: Final answer
    x = 26,438,060.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.