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Finding the Third Proportional to 7,846,162 and 16,894,626

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Solution

The third proportional to 7,846,162 and 16,894,626 is: 36,378,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846,162 : 16,894,626 = 16,894,626 : x
  2. Step 2: Convert to fraction form
    7,846,162/16,894,626 = 16,894,626/x
  3. Step 3: Cross multiply
    7,846,162x = 16,894,626 × 16,894,626
  4. Step 4: Simplify right side
    7,846,162x = 285,428,387,679,876
  5. Step 5: Solve for x
    x = 285,428,387,679,876/7,846,162
  6. Step 6: Final answer
    x = 36,378,090.04

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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.