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Finding the Third Proportional to 2,713,169.25 and 5,649,608.25

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Solution

The third proportional to 2,713,169.25 and 5,649,608.25 is: 11,764,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713,169.25 : 5,649,608.25 = 5,649,608.25 : x
  2. Step 2: Convert to fraction form
    2,713,169.25/5,649,608.25 = 5,649,608.25/x
  3. Step 3: Cross multiply
    2,713,169.25x = 5,649,608.25 × 5,649,608.25
  4. Step 4: Simplify right side
    2,713,169.25x = 31,918,073,378,468.06
  5. Step 5: Solve for x
    x = 31,918,073,378,468.06/2,713,169.25
  6. Step 6: Final answer
    x = 11,764,129.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.