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Finding the Third Proportional to 33,867,240.75 and 72,103,621.50

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Solution

The third proportional to 33,867,240.75 and 72,103,621.50 is: 153,509,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,867,240.75 : 72,103,621.50 = 72,103,621.50 : x
  2. Step 2: Convert to fraction form
    33,867,240.75/72,103,621.50 = 72,103,621.50/x
  3. Step 3: Cross multiply
    33,867,240.75x = 72,103,621.50 × 72,103,621.50
  4. Step 4: Simplify right side
    33,867,240.75x = 5,198,932,233,415,262
  5. Step 5: Solve for x
    x = 5,198,932,233,415,262/33,867,240.75
  6. Step 6: Final answer
    x = 153,509,176.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.