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Finding the Third Proportional to 327,287,110 and 727,215,533

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Solution

The third proportional to 327,287,110 and 727,215,533 is: 1,615,836,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,287,110 : 727,215,533 = 727,215,533 : x
  2. Step 2: Convert to fraction form
    327,287,110/727,215,533 = 727,215,533/x
  3. Step 3: Cross multiply
    327,287,110x = 727,215,533 × 727,215,533
  4. Step 4: Simplify right side
    327,287,110x = 528,842,431,436,474,112
  5. Step 5: Solve for x
    x = 528,842,431,436,474,112/327,287,110
  6. Step 6: Final answer
    x = 1,615,836,417.87

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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.