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Finding the Third Proportional to 37,056,064 and 80,491,196

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Solution

The third proportional to 37,056,064 and 80,491,196 is: 174,838,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,064 : 80,491,196 = 80,491,196 : x
  2. Step 2: Convert to fraction form
    37,056,064/80,491,196 = 80,491,196/x
  3. Step 3: Cross multiply
    37,056,064x = 80,491,196 × 80,491,196
  4. Step 4: Simplify right side
    37,056,064x = 6,478,832,633,510,416
  5. Step 5: Solve for x
    x = 6,478,832,633,510,416/37,056,064
  6. Step 6: Final answer
    x = 174,838,661.59

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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.