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Finding the Third Proportional to 37,056,104 and 80,491,274

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Solution

The third proportional to 37,056,104 and 80,491,274 is: 174,838,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,104 : 80,491,274 = 80,491,274 : x
  2. Step 2: Convert to fraction form
    37,056,104/80,491,274 = 80,491,274/x
  3. Step 3: Cross multiply
    37,056,104x = 80,491,274 × 80,491,274
  4. Step 4: Simplify right side
    37,056,104x = 6,478,845,190,143,076
  5. Step 5: Solve for x
    x = 6,478,845,190,143,076/37,056,104
  6. Step 6: Final answer
    x = 174,838,811.71

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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.