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Finding the Third Proportional to 21,221,867 and 45,469,074

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Solution

The third proportional to 21,221,867 and 45,469,074 is: 97,420,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221,867 : 45,469,074 = 45,469,074 : x
  2. Step 2: Convert to fraction form
    21,221,867/45,469,074 = 45,469,074/x
  3. Step 3: Cross multiply
    21,221,867x = 45,469,074 × 45,469,074
  4. Step 4: Simplify right side
    21,221,867x = 2,067,436,690,417,476
  5. Step 5: Solve for x
    x = 2,067,436,690,417,476/21,221,867
  6. Step 6: Final answer
    x = 97,420,113.43

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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.