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Finding the Third Proportional to 33,699,180 and 72,768,172

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Solution

The third proportional to 33,699,180 and 72,768,172 is: 157,131,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,699,180 : 72,768,172 = 72,768,172 : x
  2. Step 2: Convert to fraction form
    33,699,180/72,768,172 = 72,768,172/x
  3. Step 3: Cross multiply
    33,699,180x = 72,768,172 × 72,768,172
  4. Step 4: Simplify right side
    33,699,180x = 5,295,206,856,221,584
  5. Step 5: Solve for x
    x = 5,295,206,856,221,584/33,699,180
  6. Step 6: Final answer
    x = 157,131,623.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.