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Finding the Third Proportional to 49,188,945 and 73,512,315

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Solution

The third proportional to 49,188,945 and 73,512,315 is: 109,863,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188,945 : 73,512,315 = 73,512,315 : x
  2. Step 2: Convert to fraction form
    49,188,945/73,512,315 = 73,512,315/x
  3. Step 3: Cross multiply
    49,188,945x = 73,512,315 × 73,512,315
  4. Step 4: Simplify right side
    49,188,945x = 5,404,060,456,659,225
  5. Step 5: Solve for x
    x = 5,404,060,456,659,225/49,188,945
  6. Step 6: Final answer
    x = 109,863,312.92

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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.