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Finding the Third Proportional to 10,761,826.50 and 16,342,020

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Solution

The third proportional to 10,761,826.50 and 16,342,020 is: 24,815,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761,826.50 : 16,342,020 = 16,342,020 : x
  2. Step 2: Convert to fraction form
    10,761,826.50/16,342,020 = 16,342,020/x
  3. Step 3: Cross multiply
    10,761,826.50x = 16,342,020 × 16,342,020
  4. Step 4: Simplify right side
    10,761,826.50x = 267,061,617,680,400
  5. Step 5: Solve for x
    x = 267,061,617,680,400/10,761,826.50
  6. Step 6: Final answer
    x = 24,815,640.51

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.