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Finding the Third Proportional to 206,652,234,624 and 323,467,188,640

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Solution

The third proportional to 206,652,234,624 and 323,467,188,640 is: 506,314,496,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,652,234,624 : 323,467,188,640 = 323,467,188,640 : x
  2. Step 2: Convert to fraction form
    206,652,234,624/323,467,188,640 = 323,467,188,640/x
  3. Step 3: Cross multiply
    206,652,234,624x = 323,467,188,640 × 323,467,188,640
  4. Step 4: Simplify right side
    206,652,234,624x = 104,631,022,126,665,337,667,584
  5. Step 5: Solve for x
    x = 104,631,022,126,665,337,667,584/206,652,234,624
  6. Step 6: Final answer
    x = 506,314,496,511.69

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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.