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Finding the Third Proportional to 32,823,198 and 71,425,908

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Solution

The third proportional to 32,823,198 and 71,425,908 is: 155,428,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823,198 : 71,425,908 = 71,425,908 : x
  2. Step 2: Convert to fraction form
    32,823,198/71,425,908 = 71,425,908/x
  3. Step 3: Cross multiply
    32,823,198x = 71,425,908 × 71,425,908
  4. Step 4: Simplify right side
    32,823,198x = 5,101,660,333,624,464
  5. Step 5: Solve for x
    x = 5,101,660,333,624,464/32,823,198
  6. Step 6: Final answer
    x = 155,428,497.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.