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Finding the Third Proportional to 33,376,077 and 69,310,107

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Solution

The third proportional to 33,376,077 and 69,310,107 is: 143,932,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,376,077 : 69,310,107 = 69,310,107 : x
  2. Step 2: Convert to fraction form
    33,376,077/69,310,107 = 69,310,107/x
  3. Step 3: Cross multiply
    33,376,077x = 69,310,107 × 69,310,107
  4. Step 4: Simplify right side
    33,376,077x = 4,803,890,932,351,449
  5. Step 5: Solve for x
    x = 4,803,890,932,351,449/33,376,077
  6. Step 6: Final answer
    x = 143,932,162.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.