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Finding the Third Proportional to 238,061,783,601 and 513,994,023,378

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Solution

The third proportional to 238,061,783,601 and 513,994,023,378 is: 1,109,753,325,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,061,783,601 : 513,994,023,378 = 513,994,023,378 : x
  2. Step 2: Convert to fraction form
    238,061,783,601/513,994,023,378 = 513,994,023,378/x
  3. Step 3: Cross multiply
    238,061,783,601x = 513,994,023,378 × 513,994,023,378
  4. Step 4: Simplify right side
    238,061,783,601x = 264,189,856,068,304,013,099,008
  5. Step 5: Solve for x
    x = 264,189,856,068,304,013,099,008/238,061,783,601
  6. Step 6: Final answer
    x = 1,109,753,325,679.08

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