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Finding the Third Proportional to 3,193,686 and 6,805,458

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Solution

The third proportional to 3,193,686 and 6,805,458 is: 14,501,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,686 : 6,805,458 = 6,805,458 : x
  2. Step 2: Convert to fraction form
    3,193,686/6,805,458 = 6,805,458/x
  3. Step 3: Cross multiply
    3,193,686x = 6,805,458 × 6,805,458
  4. Step 4: Simplify right side
    3,193,686x = 46,314,258,589,764
  5. Step 5: Solve for x
    x = 46,314,258,589,764/3,193,686
  6. Step 6: Final answer
    x = 14,501,819.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.