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Finding the Third Proportional to 151,646,344 and 327,456,836

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Solution

The third proportional to 151,646,344 and 327,456,836 is: 707,092,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,646,344 : 327,456,836 = 327,456,836 : x
  2. Step 2: Convert to fraction form
    151,646,344/327,456,836 = 327,456,836/x
  3. Step 3: Cross multiply
    151,646,344x = 327,456,836 × 327,456,836
  4. Step 4: Simplify right side
    151,646,344x = 107,227,979,443,130,896
  5. Step 5: Solve for x
    x = 107,227,979,443,130,896/151,646,344
  6. Step 6: Final answer
    x = 707,092,413.93

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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.