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Finding the Third Proportional to 11,654,286 and 25,377,612

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Solution

The third proportional to 11,654,286 and 25,377,612 is: 55,260,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654,286 : 25,377,612 = 25,377,612 : x
  2. Step 2: Convert to fraction form
    11,654,286/25,377,612 = 25,377,612/x
  3. Step 3: Cross multiply
    11,654,286x = 25,377,612 × 25,377,612
  4. Step 4: Simplify right side
    11,654,286x = 644,023,190,822,544
  5. Step 5: Solve for x
    x = 644,023,190,822,544/11,654,286
  6. Step 6: Final answer
    x = 55,260,630.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.