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Finding the Third Proportional to 6,668,267,027.25 and 14,498,751,234

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Solution

The third proportional to 6,668,267,027.25 and 14,498,751,234 is: 31,524,500,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668,267,027.25 : 14,498,751,234 = 14,498,751,234 : x
  2. Step 2: Convert to fraction form
    6,668,267,027.25/14,498,751,234 = 14,498,751,234/x
  3. Step 3: Cross multiply
    6,668,267,027.25x = 14,498,751,234 × 14,498,751,234
  4. Step 4: Simplify right side
    6,668,267,027.25x = 210,213,787,345,416,519,680
  5. Step 5: Solve for x
    x = 210,213,787,345,416,519,680/6,668,267,027.25
  6. Step 6: Final answer
    x = 31,524,500,516.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.