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Finding the Third Proportional to 27,867,469.50 and 58,275,890.25

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Solution

The third proportional to 27,867,469.50 and 58,275,890.25 is: 121,865,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867,469.50 : 58,275,890.25 = 58,275,890.25 : x
  2. Step 2: Convert to fraction form
    27,867,469.50/58,275,890.25 = 58,275,890.25/x
  3. Step 3: Cross multiply
    27,867,469.50x = 58,275,890.25 × 58,275,890.25
  4. Step 4: Simplify right side
    27,867,469.50x = 3,396,079,384,430,045
  5. Step 5: Solve for x
    x = 3,396,079,384,430,045/27,867,469.50
  6. Step 6: Final answer
    x = 121,865,366.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.