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Finding the Third Proportional to 11,589,750 and 25,174,017

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Solution

The third proportional to 11,589,750 and 25,174,017 is: 54,680,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589,750 : 25,174,017 = 25,174,017 : x
  2. Step 2: Convert to fraction form
    11,589,750/25,174,017 = 25,174,017/x
  3. Step 3: Cross multiply
    11,589,750x = 25,174,017 × 25,174,017
  4. Step 4: Simplify right side
    11,589,750x = 633,731,131,916,289
  5. Step 5: Solve for x
    x = 633,731,131,916,289/11,589,750
  6. Step 6: Final answer
    x = 54,680,310.78

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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.