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Finding the Third Proportional to 33,542,142.19 and 70,951,647.94

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Solution

The third proportional to 33,542,142.19 and 70,951,647.94 is: 150,083,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542,142.19 : 70,951,647.94 = 70,951,647.94 : x
  2. Step 2: Convert to fraction form
    33,542,142.19/70,951,647.94 = 70,951,647.94/x
  3. Step 3: Cross multiply
    33,542,142.19x = 70,951,647.94 × 70,951,647.94
  4. Step 4: Simplify right side
    33,542,142.19x = 5,034,136,345,046,948
  5. Step 5: Solve for x
    x = 5,034,136,345,046,948/33,542,142.19
  6. Step 6: Final answer
    x = 150,083,924.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.