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Finding the Third Proportional to 11,744,343 and 17,967,532

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Solution

The third proportional to 11,744,343 and 17,967,532 is: 27,488,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744,343 : 17,967,532 = 17,967,532 : x
  2. Step 2: Convert to fraction form
    11,744,343/17,967,532 = 17,967,532/x
  3. Step 3: Cross multiply
    11,744,343x = 17,967,532 × 17,967,532
  4. Step 4: Simplify right side
    11,744,343x = 322,832,206,171,024
  5. Step 5: Solve for x
    x = 322,832,206,171,024/11,744,343
  6. Step 6: Final answer
    x = 27,488,315.54

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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.