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Finding the Third Proportional to 33,670,737,193.50 and 47,073,672,298.12

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Solution

The third proportional to 33,670,737,193.50 and 47,073,672,298.12 is: 65,811,764,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670,737,193.50 : 47,073,672,298.12 = 47,073,672,298.12 : x
  2. Step 2: Convert to fraction form
    33,670,737,193.50/47,073,672,298.12 = 47,073,672,298.12/x
  3. Step 3: Cross multiply
    33,670,737,193.50x = 47,073,672,298.12 × 47,073,672,298.12
  4. Step 4: Simplify right side
    33,670,737,193.50x = 2,215,930,623,631,166,799,872
  5. Step 5: Solve for x
    x = 2,215,930,623,631,166,799,872/33,670,737,193.50
  6. Step 6: Final answer
    x = 65,811,764,408.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.