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Finding the Third Proportional to 3,757,205.50 and 8,206,161

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Solution

The third proportional to 3,757,205.50 and 8,206,161 is: 17,923,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757,205.50 : 8,206,161 = 8,206,161 : x
  2. Step 2: Convert to fraction form
    3,757,205.50/8,206,161 = 8,206,161/x
  3. Step 3: Cross multiply
    3,757,205.50x = 8,206,161 × 8,206,161
  4. Step 4: Simplify right side
    3,757,205.50x = 67,341,078,357,921
  5. Step 5: Solve for x
    x = 67,341,078,357,921/3,757,205.50
  6. Step 6: Final answer
    x = 17,923,182.10

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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.