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Finding the Third Proportional to 7,268,940 and 11,253,917.25

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Solution

The third proportional to 7,268,940 and 11,253,917.25 is: 17,423,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,940 : 11,253,917.25 = 11,253,917.25 : x
  2. Step 2: Convert to fraction form
    7,268,940/11,253,917.25 = 11,253,917.25/x
  3. Step 3: Cross multiply
    7,268,940x = 11,253,917.25 × 11,253,917.25
  4. Step 4: Simplify right side
    7,268,940x = 126,650,653,469,847.56
  5. Step 5: Solve for x
    x = 126,650,653,469,847.56/7,268,940
  6. Step 6: Final answer
    x = 17,423,538.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.