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Finding the Third Proportional to 73,869,521,466 and 149,794,548,744

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Solution

The third proportional to 73,869,521,466 and 149,794,548,744 is: 303,757,305,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,869,521,466 : 149,794,548,744 = 149,794,548,744 : x
  2. Step 2: Convert to fraction form
    73,869,521,466/149,794,548,744 = 149,794,548,744/x
  3. Step 3: Cross multiply
    73,869,521,466x = 149,794,548,744 × 149,794,548,744
  4. Step 4: Simplify right side
    73,869,521,466x = 22,438,406,833,418,591,535,104
  5. Step 5: Solve for x
    x = 22,438,406,833,418,591,535,104/73,869,521,466
  6. Step 6: Final answer
    x = 303,757,305,964.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.