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Finding the Third Proportional to 32,823,885 and 75,981,348

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Solution

The third proportional to 32,823,885 and 75,981,348 is: 175,883,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823,885 : 75,981,348 = 75,981,348 : x
  2. Step 2: Convert to fraction form
    32,823,885/75,981,348 = 75,981,348/x
  3. Step 3: Cross multiply
    32,823,885x = 75,981,348 × 75,981,348
  4. Step 4: Simplify right side
    32,823,885x = 5,773,165,243,897,104
  5. Step 5: Solve for x
    x = 5,773,165,243,897,104/32,823,885
  6. Step 6: Final answer
    x = 175,883,057.23

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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.