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Finding the Third Proportional to 327,268,566 and 727,181,982

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Solution

The third proportional to 327,268,566 and 727,181,982 is: 1,615,778,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,268,566 : 727,181,982 = 727,181,982 : x
  2. Step 2: Convert to fraction form
    327,268,566/727,181,982 = 727,181,982/x
  3. Step 3: Cross multiply
    327,268,566x = 727,181,982 × 727,181,982
  4. Step 4: Simplify right side
    327,268,566x = 528,793,634,945,448,320
  5. Step 5: Solve for x
    x = 528,793,634,945,448,320/327,268,566
  6. Step 6: Final answer
    x = 1,615,778,873.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.