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Finding the Third Proportional to 421,731,474,846 and 642,464,327,909

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Solution

The third proportional to 421,731,474,846 and 642,464,327,909 is: 978,728,023,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,731,474,846 : 642,464,327,909 = 642,464,327,909 : x
  2. Step 2: Convert to fraction form
    421,731,474,846/642,464,327,909 = 642,464,327,909/x
  3. Step 3: Cross multiply
    421,731,474,846x = 642,464,327,909 × 642,464,327,909
  4. Step 4: Simplify right side
    421,731,474,846x = 412,760,412,635,563,055,644,672
  5. Step 5: Solve for x
    x = 412,760,412,635,563,055,644,672/421,731,474,846
  6. Step 6: Final answer
    x = 978,728,023,053.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.