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Finding the Third Proportional to 5,251,777 and 11,399,864

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Solution

The third proportional to 5,251,777 and 11,399,864 is: 24,745,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251,777 : 11,399,864 = 11,399,864 : x
  2. Step 2: Convert to fraction form
    5,251,777/11,399,864 = 11,399,864/x
  3. Step 3: Cross multiply
    5,251,777x = 11,399,864 × 11,399,864
  4. Step 4: Simplify right side
    5,251,777x = 129,956,899,218,496
  5. Step 5: Solve for x
    x = 129,956,899,218,496/5,251,777
  6. Step 6: Final answer
    x = 24,745,319.39

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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.