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Finding the Third Proportional to 11,744,347 and 17,967,538

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Solution

The third proportional to 11,744,347 and 17,967,538 is: 27,488,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744,347 : 17,967,538 = 17,967,538 : x
  2. Step 2: Convert to fraction form
    11,744,347/17,967,538 = 17,967,538/x
  3. Step 3: Cross multiply
    11,744,347x = 17,967,538 × 17,967,538
  4. Step 4: Simplify right side
    11,744,347x = 322,832,421,781,444
  5. Step 5: Solve for x
    x = 322,832,421,781,444/11,744,347
  6. Step 6: Final answer
    x = 27,488,324.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.