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Finding the Third Proportional to 3,789,918 and 8,218,314

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Solution

The third proportional to 3,789,918 and 8,218,314 is: 17,821,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789,918 : 8,218,314 = 8,218,314 : x
  2. Step 2: Convert to fraction form
    3,789,918/8,218,314 = 8,218,314/x
  3. Step 3: Cross multiply
    3,789,918x = 8,218,314 × 8,218,314
  4. Step 4: Simplify right side
    3,789,918x = 67,540,685,002,596
  5. Step 5: Solve for x
    x = 67,540,685,002,596/3,789,918
  6. Step 6: Final answer
    x = 17,821,146.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.