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Finding the Third Proportional to 8,202,228 and 17,949,147

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Solution

The third proportional to 8,202,228 and 17,949,147 is: 39,278,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,228 : 17,949,147 = 17,949,147 : x
  2. Step 2: Convert to fraction form
    8,202,228/17,949,147 = 17,949,147/x
  3. Step 3: Cross multiply
    8,202,228x = 17,949,147 × 17,949,147
  4. Step 4: Simplify right side
    8,202,228x = 322,171,878,027,609
  5. Step 5: Solve for x
    x = 322,171,878,027,609/8,202,228
  6. Step 6: Final answer
    x = 39,278,581.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.