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Finding the Third Proportional to 681,694,226 and 1,472,350,300

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Solution

The third proportional to 681,694,226 and 1,472,350,300 is: 3,180,040,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,694,226 : 1,472,350,300 = 1,472,350,300 : x
  2. Step 2: Convert to fraction form
    681,694,226/1,472,350,300 = 1,472,350,300/x
  3. Step 3: Cross multiply
    681,694,226x = 1,472,350,300 × 1,472,350,300
  4. Step 4: Simplify right side
    681,694,226x = 2,167,815,405,910,089,984
  5. Step 5: Solve for x
    x = 2,167,815,405,910,089,984/681,694,226
  6. Step 6: Final answer
    x = 3,180,040,732.68

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Why These Related Problems?

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