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Finding the Third Proportional to 26,986,845.75 and 41,454,766.50

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Solution

The third proportional to 26,986,845.75 and 41,454,766.50 is: 63,679,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,986,845.75 : 41,454,766.50 = 41,454,766.50 : x
  2. Step 2: Convert to fraction form
    26,986,845.75/41,454,766.50 = 41,454,766.50/x
  3. Step 3: Cross multiply
    26,986,845.75x = 41,454,766.50 × 41,454,766.50
  4. Step 4: Simplify right side
    26,986,845.75x = 1,718,497,665,569,522.25
  5. Step 5: Solve for x
    x = 1,718,497,665,569,522.25/26,986,845.75
  6. Step 6: Final answer
    x = 63,679,085.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.