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Finding the Third Proportional to 3,846,049 and 8,206,871

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Solution

The third proportional to 3,846,049 and 8,206,871 is: 17,512,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,049 : 8,206,871 = 8,206,871 : x
  2. Step 2: Convert to fraction form
    3,846,049/8,206,871 = 8,206,871/x
  3. Step 3: Cross multiply
    3,846,049x = 8,206,871 × 8,206,871
  4. Step 4: Simplify right side
    3,846,049x = 67,352,731,610,641
  5. Step 5: Solve for x
    x = 67,352,731,610,641/3,846,049
  6. Step 6: Final answer
    x = 17,512,187.60

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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.