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Finding the Third Proportional to 8,202,240 and 17,949,170

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Solution

The third proportional to 8,202,240 and 17,949,170 is: 39,278,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,240 : 17,949,170 = 17,949,170 : x
  2. Step 2: Convert to fraction form
    8,202,240/17,949,170 = 17,949,170/x
  3. Step 3: Cross multiply
    8,202,240x = 17,949,170 × 17,949,170
  4. Step 4: Simplify right side
    8,202,240x = 322,172,703,688,900
  5. Step 5: Solve for x
    x = 322,172,703,688,900/8,202,240
  6. Step 6: Final answer
    x = 39,278,624.34

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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.