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Finding the Third Proportional to 2,782,257,349.50 and 6,000,350,379.75

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Solution

The third proportional to 2,782,257,349.50 and 6,000,350,379.75 is: 12,940,645,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,257,349.50 : 6,000,350,379.75 = 6,000,350,379.75 : x
  2. Step 2: Convert to fraction form
    2,782,257,349.50/6,000,350,379.75 = 6,000,350,379.75/x
  3. Step 3: Cross multiply
    2,782,257,349.50x = 6,000,350,379.75 × 6,000,350,379.75
  4. Step 4: Simplify right side
    2,782,257,349.50x = 36,004,204,679,765,970,944
  5. Step 5: Solve for x
    x = 36,004,204,679,765,970,944/2,782,257,349.50
  6. Step 6: Final answer
    x = 12,940,645,007.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.