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Finding the Third Proportional to 271,770,926.63 and 415,560,481.31

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Solution

The third proportional to 271,770,926.63 and 415,560,481.31 is: 635,426,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,770,926.63 : 415,560,481.31 = 415,560,481.31 : x
  2. Step 2: Convert to fraction form
    271,770,926.63/415,560,481.31 = 415,560,481.31/x
  3. Step 3: Cross multiply
    271,770,926.63x = 415,560,481.31 × 415,560,481.31
  4. Step 4: Simplify right side
    271,770,926.63x = 172,690,513,628,676,672
  5. Step 5: Solve for x
    x = 172,690,513,628,676,672/271,770,926.63
  6. Step 6: Final answer
    x = 635,426,738.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.