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Finding the Third Proportional to 33,699,264 and 72,768,288

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Solution

The third proportional to 33,699,264 and 72,768,288 is: 157,131,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,699,264 : 72,768,288 = 72,768,288 : x
  2. Step 2: Convert to fraction form
    33,699,264/72,768,288 = 72,768,288/x
  3. Step 3: Cross multiply
    33,699,264x = 72,768,288 × 72,768,288
  4. Step 4: Simplify right side
    33,699,264x = 5,295,223,738,450,944
  5. Step 5: Solve for x
    x = 5,295,223,738,450,944/33,699,264
  6. Step 6: Final answer
    x = 157,131,732.56

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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.