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Finding the Third Proportional to 31,933,078 and 50,035,938

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Solution

The third proportional to 31,933,078 and 50,035,938 is: 78,401,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,933,078 : 50,035,938 = 50,035,938 : x
  2. Step 2: Convert to fraction form
    31,933,078/50,035,938 = 50,035,938/x
  3. Step 3: Cross multiply
    31,933,078x = 50,035,938 × 50,035,938
  4. Step 4: Simplify right side
    31,933,078x = 2,503,595,091,539,844
  5. Step 5: Solve for x
    x = 2,503,595,091,539,844/31,933,078
  6. Step 6: Final answer
    x = 78,401,308.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.