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Finding the Third Proportional to 33,295,926,000 and 78,572,425,824

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Solution

The third proportional to 33,295,926,000 and 78,572,425,824 is: 185,416,861,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,295,926,000 : 78,572,425,824 = 78,572,425,824 : x
  2. Step 2: Convert to fraction form
    33,295,926,000/78,572,425,824 = 78,572,425,824/x
  3. Step 3: Cross multiply
    33,295,926,000x = 78,572,425,824 × 78,572,425,824
  4. Step 4: Simplify right side
    33,295,926,000x = 6,173,626,099,867,981,971,456
  5. Step 5: Solve for x
    x = 6,173,626,099,867,981,971,456/33,295,926,000
  6. Step 6: Final answer
    x = 185,416,861,506.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.