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Finding the Third Proportional to 7,407,864 and 11,131,520

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Solution

The third proportional to 7,407,864 and 11,131,520 is: 16,726,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407,864 : 11,131,520 = 11,131,520 : x
  2. Step 2: Convert to fraction form
    7,407,864/11,131,520 = 11,131,520/x
  3. Step 3: Cross multiply
    7,407,864x = 11,131,520 × 11,131,520
  4. Step 4: Simplify right side
    7,407,864x = 123,910,737,510,400
  5. Step 5: Solve for x
    x = 123,910,737,510,400/7,407,864
  6. Step 6: Final answer
    x = 16,726,918.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.