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Finding the Third Proportional to 6,396,917 and 9,827,471

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Solution

The third proportional to 6,396,917 and 9,827,471 is: 15,097,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396,917 : 9,827,471 = 9,827,471 : x
  2. Step 2: Convert to fraction form
    6,396,917/9,827,471 = 9,827,471/x
  3. Step 3: Cross multiply
    6,396,917x = 9,827,471 × 9,827,471
  4. Step 4: Simplify right side
    6,396,917x = 96,579,186,255,841
  5. Step 5: Solve for x
    x = 96,579,186,255,841/6,396,917
  6. Step 6: Final answer
    x = 15,097,770.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.