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Finding the Third Proportional to 50,486,895 and 110,584,014.75

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Solution

The third proportional to 50,486,895 and 110,584,014.75 is: 242,217,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,486,895 : 110,584,014.75 = 110,584,014.75 : x
  2. Step 2: Convert to fraction form
    50,486,895/110,584,014.75 = 110,584,014.75/x
  3. Step 3: Cross multiply
    50,486,895x = 110,584,014.75 × 110,584,014.75
  4. Step 4: Simplify right side
    50,486,895x = 12,228,824,318,228,218
  5. Step 5: Solve for x
    x = 12,228,824,318,228,218/50,486,895
  6. Step 6: Final answer
    x = 242,217,793.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.