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Finding the Third Proportional to 33,451,746 and 47,108,137.50

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Solution

The third proportional to 33,451,746 and 47,108,137.50 is: 66,339,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,451,746 : 47,108,137.50 = 47,108,137.50 : x
  2. Step 2: Convert to fraction form
    33,451,746/47,108,137.50 = 47,108,137.50/x
  3. Step 3: Cross multiply
    33,451,746x = 47,108,137.50 × 47,108,137.50
  4. Step 4: Simplify right side
    33,451,746x = 2,219,176,618,718,906.25
  5. Step 5: Solve for x
    x = 2,219,176,618,718,906.25/33,451,746
  6. Step 6: Final answer
    x = 66,339,634.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.