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Finding the Third Proportional to 33,042,295 and 68,799,993

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Solution

The third proportional to 33,042,295 and 68,799,993 is: 143,253,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042,295 : 68,799,993 = 68,799,993 : x
  2. Step 2: Convert to fraction form
    33,042,295/68,799,993 = 68,799,993/x
  3. Step 3: Cross multiply
    33,042,295x = 68,799,993 × 68,799,993
  4. Step 4: Simplify right side
    33,042,295x = 4,733,439,036,800,049
  5. Step 5: Solve for x
    x = 4,733,439,036,800,049/33,042,295
  6. Step 6: Final answer
    x = 143,253,942.77

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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.