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Finding the Third Proportional to 37,611,269 and 81,899,653

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Solution

The third proportional to 37,611,269 and 81,899,653 is: 178,338,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,611,269 : 81,899,653 = 81,899,653 : x
  2. Step 2: Convert to fraction form
    37,611,269/81,899,653 = 81,899,653/x
  3. Step 3: Cross multiply
    37,611,269x = 81,899,653 × 81,899,653
  4. Step 4: Simplify right side
    37,611,269x = 6,707,553,161,520,409
  5. Step 5: Solve for x
    x = 6,707,553,161,520,409/37,611,269
  6. Step 6: Final answer
    x = 178,338,921.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.