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Finding the Third Proportional to 186,699,659,899 and 401,715,770,749

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Solution

The third proportional to 186,699,659,899 and 401,715,770,749 is: 864,359,156,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,699,659,899 : 401,715,770,749 = 401,715,770,749 : x
  2. Step 2: Convert to fraction form
    186,699,659,899/401,715,770,749 = 401,715,770,749/x
  3. Step 3: Cross multiply
    186,699,659,899x = 401,715,770,749 × 401,715,770,749
  4. Step 4: Simplify right side
    186,699,659,899x = 161,375,560,468,463,116,877,824
  5. Step 5: Solve for x
    x = 161,375,560,468,463,116,877,824/186,699,659,899
  6. Step 6: Final answer
    x = 864,359,156,067.90

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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.