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Finding the Third Proportional to 32,824,110 and 75,981,948

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Solution

The third proportional to 32,824,110 and 75,981,948 is: 175,884,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824,110 : 75,981,948 = 75,981,948 : x
  2. Step 2: Convert to fraction form
    32,824,110/75,981,948 = 75,981,948/x
  3. Step 3: Cross multiply
    32,824,110x = 75,981,948 × 75,981,948
  4. Step 4: Simplify right side
    32,824,110x = 5,773,256,421,874,704
  5. Step 5: Solve for x
    x = 5,773,256,421,874,704/32,824,110
  6. Step 6: Final answer
    x = 175,884,629.37

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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.