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Finding the Third Proportional to 3,808,853,334 and 8,253,318,744

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Solution

The third proportional to 3,808,853,334 and 8,253,318,744 is: 17,883,931,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808,853,334 : 8,253,318,744 = 8,253,318,744 : x
  2. Step 2: Convert to fraction form
    3,808,853,334/8,253,318,744 = 8,253,318,744/x
  3. Step 3: Cross multiply
    3,808,853,334x = 8,253,318,744 × 8,253,318,744
  4. Step 4: Simplify right side
    3,808,853,334x = 68,117,270,290,061,737,984
  5. Step 5: Solve for x
    x = 68,117,270,290,061,737,984/3,808,853,334
  6. Step 6: Final answer
    x = 17,883,931,019.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.