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Finding the Third Proportional to 3,071,846 and 6,614,626

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Solution

The third proportional to 3,071,846 and 6,614,626 is: 14,243,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071,846 : 6,614,626 = 6,614,626 : x
  2. Step 2: Convert to fraction form
    3,071,846/6,614,626 = 6,614,626/x
  3. Step 3: Cross multiply
    3,071,846x = 6,614,626 × 6,614,626
  4. Step 4: Simplify right side
    3,071,846x = 43,753,277,119,876
  5. Step 5: Solve for x
    x = 43,753,277,119,876/3,071,846
  6. Step 6: Final answer
    x = 14,243,317.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.