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Finding the Third Proportional to 3,846,004.50 and 8,206,785

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Solution

The third proportional to 3,846,004.50 and 8,206,785 is: 17,512,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,004.50 : 8,206,785 = 8,206,785 : x
  2. Step 2: Convert to fraction form
    3,846,004.50/8,206,785 = 8,206,785/x
  3. Step 3: Cross multiply
    3,846,004.50x = 8,206,785 × 8,206,785
  4. Step 4: Simplify right side
    3,846,004.50x = 67,351,320,036,225
  5. Step 5: Solve for x
    x = 67,351,320,036,225/3,846,004.50
  6. Step 6: Final answer
    x = 17,512,023.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.