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Finding the Third Proportional to 327,229,902 and 727,100,220

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Solution

The third proportional to 327,229,902 and 727,100,220 is: 1,615,606,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,229,902 : 727,100,220 = 727,100,220 : x
  2. Step 2: Convert to fraction form
    327,229,902/727,100,220 = 727,100,220/x
  3. Step 3: Cross multiply
    327,229,902x = 727,100,220 × 727,100,220
  4. Step 4: Simplify right side
    327,229,902x = 528,674,729,924,048,384
  5. Step 5: Solve for x
    x = 528,674,729,924,048,384/327,229,902
  6. Step 6: Final answer
    x = 1,615,606,418.28

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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.