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Finding the Third Proportional to 6,204,162 and 13,123,716

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Solution

The third proportional to 6,204,162 and 13,123,716 is: 27,760,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204,162 : 13,123,716 = 13,123,716 : x
  2. Step 2: Convert to fraction form
    6,204,162/13,123,716 = 13,123,716/x
  3. Step 3: Cross multiply
    6,204,162x = 13,123,716 × 13,123,716
  4. Step 4: Simplify right side
    6,204,162x = 172,231,921,648,656
  5. Step 5: Solve for x
    x = 172,231,921,648,656/6,204,162
  6. Step 6: Final answer
    x = 27,760,706.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.