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Finding the Third Proportional to 11,964,434 and 18,561,198

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Solution

The third proportional to 11,964,434 and 18,561,198 is: 28,795,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964,434 : 18,561,198 = 18,561,198 : x
  2. Step 2: Convert to fraction form
    11,964,434/18,561,198 = 18,561,198/x
  3. Step 3: Cross multiply
    11,964,434x = 18,561,198 × 18,561,198
  4. Step 4: Simplify right side
    11,964,434x = 344,518,071,195,204
  5. Step 5: Solve for x
    x = 344,518,071,195,204/11,964,434
  6. Step 6: Final answer
    x = 28,795,183.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.