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Finding the Third Proportional to 32,823,872 and 75,981,322

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Solution

The third proportional to 32,823,872 and 75,981,322 is: 175,883,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823,872 : 75,981,322 = 75,981,322 : x
  2. Step 2: Convert to fraction form
    32,823,872/75,981,322 = 75,981,322/x
  3. Step 3: Cross multiply
    32,823,872x = 75,981,322 × 75,981,322
  4. Step 4: Simplify right side
    32,823,872x = 5,773,161,292,867,684
  5. Step 5: Solve for x
    x = 5,773,161,292,867,684/32,823,872
  6. Step 6: Final answer
    x = 175,883,006.52

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.