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Finding the Third Proportional to 49,188,913.50 and 73,512,273

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Solution

The third proportional to 49,188,913.50 and 73,512,273 is: 109,863,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188,913.50 : 73,512,273 = 73,512,273 : x
  2. Step 2: Convert to fraction form
    49,188,913.50/73,512,273 = 73,512,273/x
  3. Step 3: Cross multiply
    49,188,913.50x = 73,512,273 × 73,512,273
  4. Step 4: Simplify right side
    49,188,913.50x = 5,404,054,281,626,529
  5. Step 5: Solve for x
    x = 5,404,054,281,626,529/49,188,913.50
  6. Step 6: Final answer
    x = 109,863,257.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.