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Finding the Third Proportional to 37,012,104 and 80,195,895

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Solution

The third proportional to 37,012,104 and 80,195,895 is: 173,764,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,012,104 : 80,195,895 = 80,195,895 : x
  2. Step 2: Convert to fraction form
    37,012,104/80,195,895 = 80,195,895/x
  3. Step 3: Cross multiply
    37,012,104x = 80,195,895 × 80,195,895
  4. Step 4: Simplify right side
    37,012,104x = 6,431,381,574,851,025
  5. Step 5: Solve for x
    x = 6,431,381,574,851,025/37,012,104
  6. Step 6: Final answer
    x = 173,764,279.24

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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.