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Finding the Third Proportional to 33,298,132,920 and 47,861,104,644

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Solution

The third proportional to 33,298,132,920 and 47,861,104,644 is: 68,793,206,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298,132,920 : 47,861,104,644 = 47,861,104,644 : x
  2. Step 2: Convert to fraction form
    33,298,132,920/47,861,104,644 = 47,861,104,644/x
  3. Step 3: Cross multiply
    33,298,132,920x = 47,861,104,644 × 47,861,104,644
  4. Step 4: Simplify right side
    33,298,132,920x = 2,290,685,337,743,918,366,720
  5. Step 5: Solve for x
    x = 2,290,685,337,743,918,366,720/33,298,132,920
  6. Step 6: Final answer
    x = 68,793,206,611.54

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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.