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Finding the Third Proportional to 3,789,934.31 and 8,147,319.19

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Solution

The third proportional to 3,789,934.31 and 8,147,319.19 is: 17,514,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789,934.31 : 8,147,319.19 = 8,147,319.19 : x
  2. Step 2: Convert to fraction form
    3,789,934.31/8,147,319.19 = 8,147,319.19/x
  3. Step 3: Cross multiply
    3,789,934.31x = 8,147,319.19 × 8,147,319.19
  4. Step 4: Simplify right side
    3,789,934.31x = 66,378,809,943,005.66
  5. Step 5: Solve for x
    x = 66,378,809,943,005.66/3,789,934.31
  6. Step 6: Final answer
    x = 17,514,501.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.