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Finding the Third Proportional to 33,247,972.50 and 72,758,266.50

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Solution

The third proportional to 33,247,972.50 and 72,758,266.50 is: 159,220,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247,972.50 : 72,758,266.50 = 72,758,266.50 : x
  2. Step 2: Convert to fraction form
    33,247,972.50/72,758,266.50 = 72,758,266.50/x
  3. Step 3: Cross multiply
    33,247,972.50x = 72,758,266.50 × 72,758,266.50
  4. Step 4: Simplify right side
    33,247,972.50x = 5,293,765,344,085,022
  5. Step 5: Solve for x
    x = 5,293,765,344,085,022/33,247,972.50
  6. Step 6: Final answer
    x = 159,220,696.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.