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Finding the Third Proportional to 81,855,673,444 and 178,125,116,744

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Solution

The third proportional to 81,855,673,444 and 178,125,116,744 is: 387,615,859,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855,673,444 : 178,125,116,744 = 178,125,116,744 : x
  2. Step 2: Convert to fraction form
    81,855,673,444/178,125,116,744 = 178,125,116,744/x
  3. Step 3: Cross multiply
    81,855,673,444x = 178,125,116,744 × 178,125,116,744
  4. Step 4: Simplify right side
    81,855,673,444x = 31,728,557,215,063,627,268,096
  5. Step 5: Solve for x
    x = 31,728,557,215,063,627,268,096/81,855,673,444
  6. Step 6: Final answer
    x = 387,615,859,476.99

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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.