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Finding the Third Proportional to 37,245,885.75 and 81,840,592.69

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Solution

The third proportional to 37,245,885.75 and 81,840,592.69 is: 179,828,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,245,885.75 : 81,840,592.69 = 81,840,592.69 : x
  2. Step 2: Convert to fraction form
    37,245,885.75/81,840,592.69 = 81,840,592.69/x
  3. Step 3: Cross multiply
    37,245,885.75x = 81,840,592.69 × 81,840,592.69
  4. Step 4: Simplify right side
    37,245,885.75x = 6,697,882,611,441,278
  5. Step 5: Solve for x
    x = 6,697,882,611,441,278/37,245,885.75
  6. Step 6: Final answer
    x = 179,828,791.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.