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Finding the Third Proportional to 33,335,361 and 50,091,797.25

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Solution

The third proportional to 33,335,361 and 50,091,797.25 is: 75,271,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,335,361 : 50,091,797.25 = 50,091,797.25 : x
  2. Step 2: Convert to fraction form
    33,335,361/50,091,797.25 = 50,091,797.25/x
  3. Step 3: Cross multiply
    33,335,361x = 50,091,797.25 × 50,091,797.25
  4. Step 4: Simplify right side
    33,335,361x = 2,509,188,151,735,107.50
  5. Step 5: Solve for x
    x = 2,509,188,151,735,107.50/33,335,361
  6. Step 6: Final answer
    x = 75,271,065.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.