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Finding the Third Proportional to 37,422,144 and 80,619,264

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Solution

The third proportional to 37,422,144 and 80,619,264 is: 173,679,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,422,144 : 80,619,264 = 80,619,264 : x
  2. Step 2: Convert to fraction form
    37,422,144/80,619,264 = 80,619,264/x
  3. Step 3: Cross multiply
    37,422,144x = 80,619,264 × 80,619,264
  4. Step 4: Simplify right side
    37,422,144x = 6,499,465,727,901,696
  5. Step 5: Solve for x
    x = 6,499,465,727,901,696/37,422,144
  6. Step 6: Final answer
    x = 173,679,672.87

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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.