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Finding the Third Proportional to 11,947,299 and 26,217,027

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Solution

The third proportional to 11,947,299 and 26,217,027 is: 57,530,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947,299 : 26,217,027 = 26,217,027 : x
  2. Step 2: Convert to fraction form
    11,947,299/26,217,027 = 26,217,027/x
  3. Step 3: Cross multiply
    11,947,299x = 26,217,027 × 26,217,027
  4. Step 4: Simplify right side
    11,947,299x = 687,332,504,718,729
  5. Step 5: Solve for x
    x = 687,332,504,718,729/11,947,299
  6. Step 6: Final answer
    x = 57,530,367.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.