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Finding the Third Proportional to 331,489,107 and 520,008,588

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Solution

The third proportional to 331,489,107 and 520,008,588 is: 815,740,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,489,107 : 520,008,588 = 520,008,588 : x
  2. Step 2: Convert to fraction form
    331,489,107/520,008,588 = 520,008,588/x
  3. Step 3: Cross multiply
    331,489,107x = 520,008,588 × 520,008,588
  4. Step 4: Simplify right side
    331,489,107x = 270,408,931,593,753,728
  5. Step 5: Solve for x
    x = 270,408,931,593,753,728/331,489,107
  6. Step 6: Final answer
    x = 815,740,022.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.