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Finding the Third Proportional to 5,867,891.86 and 8,976,091.57

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Solution

The third proportional to 5,867,891.86 and 8,976,091.57 is: 13,730,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867,891.86 : 8,976,091.57 = 8,976,091.57 : x
  2. Step 2: Convert to fraction form
    5,867,891.86/8,976,091.57 = 8,976,091.57/x
  3. Step 3: Cross multiply
    5,867,891.86x = 8,976,091.57 × 8,976,091.57
  4. Step 4: Simplify right side
    5,867,891.86x = 80,570,219,878,635.12
  5. Step 5: Solve for x
    x = 80,570,219,878,635.12/5,867,891.86
  6. Step 6: Final answer
    x = 13,730,692.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.