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Finding the Third Proportional to 2,527,125.50 and 5,451,794

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Solution

The third proportional to 2,527,125.50 and 5,451,794 is: 11,761,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,125.50 : 5,451,794 = 5,451,794 : x
  2. Step 2: Convert to fraction form
    2,527,125.50/5,451,794 = 5,451,794/x
  3. Step 3: Cross multiply
    2,527,125.50x = 5,451,794 × 5,451,794
  4. Step 4: Simplify right side
    2,527,125.50x = 29,722,057,818,436
  5. Step 5: Solve for x
    x = 29,722,057,818,436/2,527,125.50
  6. Step 6: Final answer
    x = 11,761,211.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.