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Finding the Third Proportional to 17,834,800 and 27,327,924

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Solution

The third proportional to 17,834,800 and 27,327,924 is: 41,874,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834,800 : 27,327,924 = 27,327,924 : x
  2. Step 2: Convert to fraction form
    17,834,800/27,327,924 = 27,327,924/x
  3. Step 3: Cross multiply
    17,834,800x = 27,327,924 × 27,327,924
  4. Step 4: Simplify right side
    17,834,800x = 746,815,430,149,776
  5. Step 5: Solve for x
    x = 746,815,430,149,776/17,834,800
  6. Step 6: Final answer
    x = 41,874,056.91

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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.