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Finding the Third Proportional to 8,162,248.50 and 17,794,161

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Solution

The third proportional to 8,162,248.50 and 17,794,161 is: 38,792,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162,248.50 : 17,794,161 = 17,794,161 : x
  2. Step 2: Convert to fraction form
    8,162,248.50/17,794,161 = 17,794,161/x
  3. Step 3: Cross multiply
    8,162,248.50x = 17,794,161 × 17,794,161
  4. Step 4: Simplify right side
    8,162,248.50x = 316,632,165,693,921
  5. Step 5: Solve for x
    x = 316,632,165,693,921/8,162,248.50
  6. Step 6: Final answer
    x = 38,792,272.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.