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Finding the Third Proportional to 13,944,673 and 20,381,856

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Solution

The third proportional to 13,944,673 and 20,381,856 is: 29,790,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944,673 : 20,381,856 = 20,381,856 : x
  2. Step 2: Convert to fraction form
    13,944,673/20,381,856 = 20,381,856/x
  3. Step 3: Cross multiply
    13,944,673x = 20,381,856 × 20,381,856
  4. Step 4: Simplify right side
    13,944,673x = 415,420,054,004,736
  5. Step 5: Solve for x
    x = 415,420,054,004,736/13,944,673
  6. Step 6: Final answer
    x = 29,790,591.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.