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Finding the Third Proportional to 339,593,904,614 and 726,892,682,764

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Solution

The third proportional to 339,593,904,614 and 726,892,682,764 is: 1,555,896,513,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,593,904,614 : 726,892,682,764 = 726,892,682,764 : x
  2. Step 2: Convert to fraction form
    339,593,904,614/726,892,682,764 = 726,892,682,764/x
  3. Step 3: Cross multiply
    339,593,904,614x = 726,892,682,764 × 726,892,682,764
  4. Step 4: Simplify right side
    339,593,904,614x = 528,372,972,255,845,145,378,816
  5. Step 5: Solve for x
    x = 528,372,972,255,845,145,378,816/339,593,904,614
  6. Step 6: Final answer
    x = 1,555,896,513,679.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.