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Finding the Third Proportional to 7,442,208 and 11,206,872

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Solution

The third proportional to 7,442,208 and 11,206,872 is: 16,875,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,208 : 11,206,872 = 11,206,872 : x
  2. Step 2: Convert to fraction form
    7,442,208/11,206,872 = 11,206,872/x
  3. Step 3: Cross multiply
    7,442,208x = 11,206,872 × 11,206,872
  4. Step 4: Simplify right side
    7,442,208x = 125,593,980,024,384
  5. Step 5: Solve for x
    x = 125,593,980,024,384/7,442,208
  6. Step 6: Final answer
    x = 16,875,902.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.