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Finding the Third Proportional to 6,538,812.75 and 8,976,004.88

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Solution

The third proportional to 6,538,812.75 and 8,976,004.88 is: 12,321,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538,812.75 : 8,976,004.88 = 8,976,004.88 : x
  2. Step 2: Convert to fraction form
    6,538,812.75/8,976,004.88 = 8,976,004.88/x
  3. Step 3: Cross multiply
    6,538,812.75x = 8,976,004.88 × 8,976,004.88
  4. Step 4: Simplify right side
    6,538,812.75x = 80,568,663,516,023.77
  5. Step 5: Solve for x
    x = 80,568,663,516,023.77/6,538,812.75
  6. Step 6: Final answer
    x = 12,321,604.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.