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Finding the Third Proportional to 33,481,912.50 and 71,746,791.75

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Solution

The third proportional to 33,481,912.50 and 71,746,791.75 is: 153,742,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481,912.50 : 71,746,791.75 = 71,746,791.75 : x
  2. Step 2: Convert to fraction form
    33,481,912.50/71,746,791.75 = 71,746,791.75/x
  3. Step 3: Cross multiply
    33,481,912.50x = 71,746,791.75 × 71,746,791.75
  4. Step 4: Simplify right side
    33,481,912.50x = 5,147,602,126,417,868
  5. Step 5: Solve for x
    x = 5,147,602,126,417,868/33,481,912.50
  6. Step 6: Final answer
    x = 153,742,774.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.