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Finding the Third Proportional to 4,146,876 and 6,491,198.25

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Solution

The third proportional to 4,146,876 and 6,491,198.25 is: 10,160,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,876 : 6,491,198.25 = 6,491,198.25 : x
  2. Step 2: Convert to fraction form
    4,146,876/6,491,198.25 = 6,491,198.25/x
  3. Step 3: Cross multiply
    4,146,876x = 6,491,198.25 × 6,491,198.25
  4. Step 4: Simplify right side
    4,146,876x = 42,135,654,720,803.06
  5. Step 5: Solve for x
    x = 42,135,654,720,803.06/4,146,876
  6. Step 6: Final answer
    x = 10,160,818.58

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.