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Finding the Third Proportional to 3,941,013 and 8,471,394

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Solution

The third proportional to 3,941,013 and 8,471,394 is: 18,209,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941,013 : 8,471,394 = 8,471,394 : x
  2. Step 2: Convert to fraction form
    3,941,013/8,471,394 = 8,471,394/x
  3. Step 3: Cross multiply
    3,941,013x = 8,471,394 × 8,471,394
  4. Step 4: Simplify right side
    3,941,013x = 71,764,516,303,236
  5. Step 5: Solve for x
    x = 71,764,516,303,236/3,941,013
  6. Step 6: Final answer
    x = 18,209,662.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.