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Finding the Third Proportional to 3,863,129.63 and 6,149,310.75

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Solution

The third proportional to 3,863,129.63 and 6,149,310.75 is: 9,788,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,129.63 : 6,149,310.75 = 6,149,310.75 : x
  2. Step 2: Convert to fraction form
    3,863,129.63/6,149,310.75 = 6,149,310.75/x
  3. Step 3: Cross multiply
    3,863,129.63x = 6,149,310.75 × 6,149,310.75
  4. Step 4: Simplify right side
    3,863,129.63x = 37,814,022,700,065.56
  5. Step 5: Solve for x
    x = 37,814,022,700,065.56/3,863,129.63
  6. Step 6: Final answer
    x = 9,788,442.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.