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Finding the Third Proportional to 2,815,049 and 6,146,163

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Solution

The third proportional to 2,815,049 and 6,146,163 is: 13,419,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815,049 : 6,146,163 = 6,146,163 : x
  2. Step 2: Convert to fraction form
    2,815,049/6,146,163 = 6,146,163/x
  3. Step 3: Cross multiply
    2,815,049x = 6,146,163 × 6,146,163
  4. Step 4: Simplify right side
    2,815,049x = 37,775,319,622,569
  5. Step 5: Solve for x
    x = 37,775,319,622,569/2,815,049
  6. Step 6: Final answer
    x = 13,419,062.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.