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Finding the Third Proportional to 54,847,227 and 80,251,858.50

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Solution

The third proportional to 54,847,227 and 80,251,858.50 is: 117,423,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847,227 : 80,251,858.50 = 80,251,858.50 : x
  2. Step 2: Convert to fraction form
    54,847,227/80,251,858.50 = 80,251,858.50/x
  3. Step 3: Cross multiply
    54,847,227x = 80,251,858.50 × 80,251,858.50
  4. Step 4: Simplify right side
    54,847,227x = 6,440,360,792,704,022
  5. Step 5: Solve for x
    x = 6,440,360,792,704,022/54,847,227
  6. Step 6: Final answer
    x = 117,423,635.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.