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Finding the Third Proportional to 3,177,761.63 and 4,080,162.38

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Solution

The third proportional to 3,177,761.63 and 4,080,162.38 is: 5,238,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,761.63 : 4,080,162.38 = 4,080,162.38 : x
  2. Step 2: Convert to fraction form
    3,177,761.63/4,080,162.38 = 4,080,162.38/x
  3. Step 3: Cross multiply
    3,177,761.63x = 4,080,162.38 × 4,080,162.38
  4. Step 4: Simplify right side
    3,177,761.63x = 16,647,725,006,365.64
  5. Step 5: Solve for x
    x = 16,647,725,006,365.64/3,177,761.63
  6. Step 6: Final answer
    x = 5,238,821.21

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.