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Finding the Third Proportional to 11,741,286 and 25,218,864

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Solution

The third proportional to 11,741,286 and 25,218,864 is: 54,167,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741,286 : 25,218,864 = 25,218,864 : x
  2. Step 2: Convert to fraction form
    11,741,286/25,218,864 = 25,218,864/x
  3. Step 3: Cross multiply
    11,741,286x = 25,218,864 × 25,218,864
  4. Step 4: Simplify right side
    11,741,286x = 635,991,101,450,496
  5. Step 5: Solve for x
    x = 635,991,101,450,496/11,741,286
  6. Step 6: Final answer
    x = 54,167,073.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.