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Finding the Third Proportional to 5,204,965 and 11,278,649

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Solution

The third proportional to 5,204,965 and 11,278,649 is: 24,439,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204,965 : 11,278,649 = 11,278,649 : x
  2. Step 2: Convert to fraction form
    5,204,965/11,278,649 = 11,278,649/x
  3. Step 3: Cross multiply
    5,204,965x = 11,278,649 × 11,278,649
  4. Step 4: Simplify right side
    5,204,965x = 127,207,923,265,201
  5. Step 5: Solve for x
    x = 127,207,923,265,201/5,204,965
  6. Step 6: Final answer
    x = 24,439,726.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.