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Finding the Third Proportional to 3,846,012 and 8,206,797

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Solution

The third proportional to 3,846,012 and 8,206,797 is: 17,512,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,012 : 8,206,797 = 8,206,797 : x
  2. Step 2: Convert to fraction form
    3,846,012/8,206,797 = 8,206,797/x
  3. Step 3: Cross multiply
    3,846,012x = 8,206,797 × 8,206,797
  4. Step 4: Simplify right side
    3,846,012x = 67,351,516,999,209
  5. Step 5: Solve for x
    x = 67,351,516,999,209/3,846,012
  6. Step 6: Final answer
    x = 17,512,040.26

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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.