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Finding the Third Proportional to 11,947,288.50 and 26,217,009

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Solution

The third proportional to 11,947,288.50 and 26,217,009 is: 57,530,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947,288.50 : 26,217,009 = 26,217,009 : x
  2. Step 2: Convert to fraction form
    11,947,288.50/26,217,009 = 26,217,009/x
  3. Step 3: Cross multiply
    11,947,288.50x = 26,217,009 × 26,217,009
  4. Step 4: Simplify right side
    11,947,288.50x = 687,331,560,906,081
  5. Step 5: Solve for x
    x = 687,331,560,906,081/11,947,288.50
  6. Step 6: Final answer
    x = 57,530,339.28

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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.