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Finding the Third Proportional to 11,876,794 and 25,433,204

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Solution

The third proportional to 11,876,794 and 25,433,204 is: 54,463,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876,794 : 25,433,204 = 25,433,204 : x
  2. Step 2: Convert to fraction form
    11,876,794/25,433,204 = 25,433,204/x
  3. Step 3: Cross multiply
    11,876,794x = 25,433,204 × 25,433,204
  4. Step 4: Simplify right side
    11,876,794x = 646,847,865,705,616
  5. Step 5: Solve for x
    x = 646,847,865,705,616/11,876,794
  6. Step 6: Final answer
    x = 54,463,171.27

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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.