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Finding the Third Proportional to 7,827,981 and 15,876,067

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Solution

The third proportional to 7,827,981 and 15,876,067 is: 32,198,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,981 : 15,876,067 = 15,876,067 : x
  2. Step 2: Convert to fraction form
    7,827,981/15,876,067 = 15,876,067/x
  3. Step 3: Cross multiply
    7,827,981x = 15,876,067 × 15,876,067
  4. Step 4: Simplify right side
    7,827,981x = 252,049,503,388,489
  5. Step 5: Solve for x
    x = 252,049,503,388,489/7,827,981
  6. Step 6: Final answer
    x = 32,198,532.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.