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Finding the Third Proportional to 3,647,124.50 and 8,442,442

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Solution

The third proportional to 3,647,124.50 and 8,442,442 is: 19,542,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,124.50 : 8,442,442 = 8,442,442 : x
  2. Step 2: Convert to fraction form
    3,647,124.50/8,442,442 = 8,442,442/x
  3. Step 3: Cross multiply
    3,647,124.50x = 8,442,442 × 8,442,442
  4. Step 4: Simplify right side
    3,647,124.50x = 71,274,826,923,364
  5. Step 5: Solve for x
    x = 71,274,826,923,364/3,647,124.50
  6. Step 6: Final answer
    x = 19,542,745.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.