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Finding the Third Proportional to 8,251,002 and 17,921,924.25

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Solution

The third proportional to 8,251,002 and 17,921,924.25 is: 38,928,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251,002 : 17,921,924.25 = 17,921,924.25 : x
  2. Step 2: Convert to fraction form
    8,251,002/17,921,924.25 = 17,921,924.25/x
  3. Step 3: Cross multiply
    8,251,002x = 17,921,924.25 × 17,921,924.25
  4. Step 4: Simplify right side
    8,251,002x = 321,195,368,822,738.06
  5. Step 5: Solve for x
    x = 321,195,368,822,738.06/8,251,002
  6. Step 6: Final answer
    x = 38,928,043.99

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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.