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Finding the Third Proportional to 3,005,013 and 7,086,491.25

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Solution

The third proportional to 3,005,013 and 7,086,491.25 is: 16,711,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005,013 : 7,086,491.25 = 7,086,491.25 : x
  2. Step 2: Convert to fraction form
    3,005,013/7,086,491.25 = 7,086,491.25/x
  3. Step 3: Cross multiply
    3,005,013x = 7,086,491.25 × 7,086,491.25
  4. Step 4: Simplify right side
    3,005,013x = 50,218,358,236,326.56
  5. Step 5: Solve for x
    x = 50,218,358,236,326.56/3,005,013
  6. Step 6: Final answer
    x = 16,711,527.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.