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Finding the Third Proportional to 312,231,977,760 and 421,274,250,225

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Solution

The third proportional to 312,231,977,760 and 421,274,250,225 is: 568,397,878,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,231,977,760 : 421,274,250,225 = 421,274,250,225 : x
  2. Step 2: Convert to fraction form
    312,231,977,760/421,274,250,225 = 421,274,250,225/x
  3. Step 3: Cross multiply
    312,231,977,760x = 421,274,250,225 × 421,274,250,225
  4. Step 4: Simplify right side
    312,231,977,760x = 177,471,993,902,635,904,139,264
  5. Step 5: Solve for x
    x = 177,471,993,902,635,904,139,264/312,231,977,760
  6. Step 6: Final answer
    x = 568,397,878,961.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.