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Finding the Third Proportional to 301,608,832,764 and 449,797,732,578

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Solution

The third proportional to 301,608,832,764 and 449,797,732,578 is: 670,796,005,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,608,832,764 : 449,797,732,578 = 449,797,732,578 : x
  2. Step 2: Convert to fraction form
    301,608,832,764/449,797,732,578 = 449,797,732,578/x
  3. Step 3: Cross multiply
    301,608,832,764x = 449,797,732,578 × 449,797,732,578
  4. Step 4: Simplify right side
    301,608,832,764x = 202,318,000,232,310,008,446,976
  5. Step 5: Solve for x
    x = 202,318,000,232,310,008,446,976/301,608,832,764
  6. Step 6: Final answer
    x = 670,796,005,469.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.