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Finding the Third Proportional to 37,056,112 and 80,491,296

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Solution

The third proportional to 37,056,112 and 80,491,296 is: 174,838,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,112 : 80,491,296 = 80,491,296 : x
  2. Step 2: Convert to fraction form
    37,056,112/80,491,296 = 80,491,296/x
  3. Step 3: Cross multiply
    37,056,112x = 80,491,296 × 80,491,296
  4. Step 4: Simplify right side
    37,056,112x = 6,478,848,731,759,616
  5. Step 5: Solve for x
    x = 6,478,848,731,759,616/37,056,112
  6. Step 6: Final answer
    x = 174,838,869.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.