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Finding the Third Proportional to 151,646,346 and 327,456,840

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Solution

The third proportional to 151,646,346 and 327,456,840 is: 707,092,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,646,346 : 327,456,840 = 327,456,840 : x
  2. Step 2: Convert to fraction form
    151,646,346/327,456,840 = 327,456,840/x
  3. Step 3: Cross multiply
    151,646,346x = 327,456,840 × 327,456,840
  4. Step 4: Simplify right side
    151,646,346x = 107,227,982,062,785,600
  5. Step 5: Solve for x
    x = 107,227,982,062,785,600/151,646,346
  6. Step 6: Final answer
    x = 707,092,421.88

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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.