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Finding the Third Proportional to 5,101,780 and 11,198,766

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Solution

The third proportional to 5,101,780 and 11,198,766 is: 24,582,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101,780 : 11,198,766 = 11,198,766 : x
  2. Step 2: Convert to fraction form
    5,101,780/11,198,766 = 11,198,766/x
  3. Step 3: Cross multiply
    5,101,780x = 11,198,766 × 11,198,766
  4. Step 4: Simplify right side
    5,101,780x = 125,412,359,922,756
  5. Step 5: Solve for x
    x = 125,412,359,922,756/5,101,780
  6. Step 6: Final answer
    x = 24,582,079.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.