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Finding the Third Proportional to 11,288,727 and 24,769,800

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Solution

The third proportional to 11,288,727 and 24,769,800 is: 54,350,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288,727 : 24,769,800 = 24,769,800 : x
  2. Step 2: Convert to fraction form
    11,288,727/24,769,800 = 24,769,800/x
  3. Step 3: Cross multiply
    11,288,727x = 24,769,800 × 24,769,800
  4. Step 4: Simplify right side
    11,288,727x = 613,542,992,040,000
  5. Step 5: Solve for x
    x = 613,542,992,040,000/11,288,727
  6. Step 6: Final answer
    x = 54,350,060.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.