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Finding the Third Proportional to 331,189,353 and 722,534,844

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Solution

The third proportional to 331,189,353 and 722,534,844 is: 1,576,308,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,353 : 722,534,844 = 722,534,844 : x
  2. Step 2: Convert to fraction form
    331,189,353/722,534,844 = 722,534,844/x
  3. Step 3: Cross multiply
    331,189,353x = 722,534,844 × 722,534,844
  4. Step 4: Simplify right side
    331,189,353x = 522,056,600,794,104,320
  5. Step 5: Solve for x
    x = 522,056,600,794,104,320/331,189,353
  6. Step 6: Final answer
    x = 1,576,308,525.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.