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Finding the Third Proportional to 8,399,884 and 17,951,220

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Solution

The third proportional to 8,399,884 and 17,951,220 is: 38,363,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399,884 : 17,951,220 = 17,951,220 : x
  2. Step 2: Convert to fraction form
    8,399,884/17,951,220 = 17,951,220/x
  3. Step 3: Cross multiply
    8,399,884x = 17,951,220 × 17,951,220
  4. Step 4: Simplify right side
    8,399,884x = 322,246,299,488,400
  5. Step 5: Solve for x
    x = 322,246,299,488,400/8,399,884
  6. Step 6: Final answer
    x = 38,363,184.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.