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Finding the Third Proportional to 2,614,772.25 and 5,649,693.19

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Solution

The third proportional to 2,614,772.25 and 5,649,693.19 is: 12,207,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,772.25 : 5,649,693.19 = 5,649,693.19 : x
  2. Step 2: Convert to fraction form
    2,614,772.25/5,649,693.19 = 5,649,693.19/x
  3. Step 3: Cross multiply
    2,614,772.25x = 5,649,693.19 × 5,649,693.19
  4. Step 4: Simplify right side
    2,614,772.25x = 31,919,033,112,883.91
  5. Step 5: Solve for x
    x = 31,919,033,112,883.91/2,614,772.25
  6. Step 6: Final answer
    x = 12,207,194.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.