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Finding the Third Proportional to 3,165,413 and 6,442,694

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Solution

The third proportional to 3,165,413 and 6,442,694 is: 13,113,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,413 : 6,442,694 = 6,442,694 : x
  2. Step 2: Convert to fraction form
    3,165,413/6,442,694 = 6,442,694/x
  3. Step 3: Cross multiply
    3,165,413x = 6,442,694 × 6,442,694
  4. Step 4: Simplify right side
    3,165,413x = 41,508,305,977,636
  5. Step 5: Solve for x
    x = 41,508,305,977,636/3,165,413
  6. Step 6: Final answer
    x = 13,113,077.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.