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Finding the Third Proportional to 3,839,920,274,385 and 5,548,021,685,019

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Solution

The third proportional to 3,839,920,274,385 and 5,548,021,685,019 is: 8,015,933,253,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839,920,274,385 : 5,548,021,685,019 = 5,548,021,685,019 : x
  2. Step 2: Convert to fraction form
    3,839,920,274,385/5,548,021,685,019 = 5,548,021,685,019/x
  3. Step 3: Cross multiply
    3,839,920,274,385x = 5,548,021,685,019 × 5,548,021,685,019
  4. Step 4: Simplify right side
    3,839,920,274,385x = 30,780,544,617,441,063,002,439,680
  5. Step 5: Solve for x
    x = 30,780,544,617,441,063,002,439,680/3,839,920,274,385
  6. Step 6: Final answer
    x = 8,015,933,253,294.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.