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Finding the Third Proportional to 32,324,698 and 71,823,864

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Solution

The third proportional to 32,324,698 and 71,823,864 is: 159,589,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324,698 : 71,823,864 = 71,823,864 : x
  2. Step 2: Convert to fraction form
    32,324,698/71,823,864 = 71,823,864/x
  3. Step 3: Cross multiply
    32,324,698x = 71,823,864 × 71,823,864
  4. Step 4: Simplify right side
    32,324,698x = 5,158,667,439,890,496
  5. Step 5: Solve for x
    x = 5,158,667,439,890,496/32,324,698
  6. Step 6: Final answer
    x = 159,589,037.46

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.