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Finding the Third Proportional to 17,687,932 and 38,081,912

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Solution

The third proportional to 17,687,932 and 38,081,912 is: 81,989,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687,932 : 38,081,912 = 38,081,912 : x
  2. Step 2: Convert to fraction form
    17,687,932/38,081,912 = 38,081,912/x
  3. Step 3: Cross multiply
    17,687,932x = 38,081,912 × 38,081,912
  4. Step 4: Simplify right side
    17,687,932x = 1,450,232,021,575,744
  5. Step 5: Solve for x
    x = 1,450,232,021,575,744/17,687,932
  6. Step 6: Final answer
    x = 81,989,913.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.