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Finding the Third Proportional to 238,061,783,611 and 513,994,023,398

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Solution

The third proportional to 238,061,783,611 and 513,994,023,398 is: 1,109,753,325,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,061,783,611 : 513,994,023,398 = 513,994,023,398 : x
  2. Step 2: Convert to fraction form
    238,061,783,611/513,994,023,398 = 513,994,023,398/x
  3. Step 3: Cross multiply
    238,061,783,611x = 513,994,023,398 × 513,994,023,398
  4. Step 4: Simplify right side
    238,061,783,611x = 264,189,856,088,863,786,663,936
  5. Step 5: Solve for x
    x = 264,189,856,088,863,786,663,936/238,061,783,611
  6. Step 6: Final answer
    x = 1,109,753,325,718.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.