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Finding the Third Proportional to 2,782,234.83 and 6,040,340.86

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Solution

The third proportional to 2,782,234.83 and 6,040,340.86 is: 13,113,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,234.83 : 6,040,340.86 = 6,040,340.86 : x
  2. Step 2: Convert to fraction form
    2,782,234.83/6,040,340.86 = 6,040,340.86/x
  3. Step 3: Cross multiply
    2,782,234.83x = 6,040,340.86 × 6,040,340.86
  4. Step 4: Simplify right side
    2,782,234.83x = 36,485,717,697,435.12
  5. Step 5: Solve for x
    x = 36,485,717,697,435.12/2,782,234.83
  6. Step 6: Final answer
    x = 13,113,816.75

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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.