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Finding the Third Proportional to 11,741,950 and 16,535,247

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Solution

The third proportional to 11,741,950 and 16,535,247 is: 23,285,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741,950 : 16,535,247 = 16,535,247 : x
  2. Step 2: Convert to fraction form
    11,741,950/16,535,247 = 16,535,247/x
  3. Step 3: Cross multiply
    11,741,950x = 16,535,247 × 16,535,247
  4. Step 4: Simplify right side
    11,741,950x = 273,414,393,351,009
  5. Step 5: Solve for x
    x = 273,414,393,351,009/11,741,950
  6. Step 6: Final answer
    x = 23,285,262.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.