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Finding the Third Proportional to 49,858,251.75 and 76,588,380

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Solution

The third proportional to 49,858,251.75 and 76,588,380 is: 117,649,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,858,251.75 : 76,588,380 = 76,588,380 : x
  2. Step 2: Convert to fraction form
    49,858,251.75/76,588,380 = 76,588,380/x
  3. Step 3: Cross multiply
    49,858,251.75x = 76,588,380 × 76,588,380
  4. Step 4: Simplify right side
    49,858,251.75x = 5,865,779,951,024,400
  5. Step 5: Solve for x
    x = 5,865,779,951,024,400/49,858,251.75
  6. Step 6: Final answer
    x = 117,649,130.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.