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Finding the Third Proportional to 2,981,863.50 and 6,491,661

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Solution

The third proportional to 2,981,863.50 and 6,491,661 is: 14,132,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,863.50 : 6,491,661 = 6,491,661 : x
  2. Step 2: Convert to fraction form
    2,981,863.50/6,491,661 = 6,491,661/x
  3. Step 3: Cross multiply
    2,981,863.50x = 6,491,661 × 6,491,661
  4. Step 4: Simplify right side
    2,981,863.50x = 42,141,662,538,921
  5. Step 5: Solve for x
    x = 42,141,662,538,921/2,981,863.50
  6. Step 6: Final answer
    x = 14,132,659.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.