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Finding the Third Proportional to 50,757,121 and 75,213,928.50

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Solution

The third proportional to 50,757,121 and 75,213,928.50 is: 111,455,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,757,121 : 75,213,928.50 = 75,213,928.50 : x
  2. Step 2: Convert to fraction form
    50,757,121/75,213,928.50 = 75,213,928.50/x
  3. Step 3: Cross multiply
    50,757,121x = 75,213,928.50 × 75,213,928.50
  4. Step 4: Simplify right side
    50,757,121x = 5,657,135,040,403,112
  5. Step 5: Solve for x
    x = 5,657,135,040,403,112/50,757,121
  6. Step 6: Final answer
    x = 111,455,002.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.