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Finding the Third Proportional to 5,305,704.75 and 11,367,837

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Solution

The third proportional to 5,305,704.75 and 11,367,837 is: 24,356,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,704.75 : 11,367,837 = 11,367,837 : x
  2. Step 2: Convert to fraction form
    5,305,704.75/11,367,837 = 11,367,837/x
  3. Step 3: Cross multiply
    5,305,704.75x = 11,367,837 × 11,367,837
  4. Step 4: Simplify right side
    5,305,704.75x = 129,227,718,058,569
  5. Step 5: Solve for x
    x = 129,227,718,058,569/5,305,704.75
  6. Step 6: Final answer
    x = 24,356,371.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.