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Finding the Third Proportional to 3,846,021.75 and 8,206,818.75

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Solution

The third proportional to 3,846,021.75 and 8,206,818.75 is: 17,512,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,021.75 : 8,206,818.75 = 8,206,818.75 : x
  2. Step 2: Convert to fraction form
    3,846,021.75/8,206,818.75 = 8,206,818.75/x
  3. Step 3: Cross multiply
    3,846,021.75x = 8,206,818.75 × 8,206,818.75
  4. Step 4: Simplify right side
    3,846,021.75x = 67,351,873,995,351.56
  5. Step 5: Solve for x
    x = 67,351,873,995,351.56/3,846,021.75
  6. Step 6: Final answer
    x = 17,512,088.69

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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.