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Finding the Third Proportional to 50,003,114.25 and 75,137,796.75

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Solution

The third proportional to 50,003,114.25 and 75,137,796.75 is: 112,906,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,003,114.25 : 75,137,796.75 = 75,137,796.75 : x
  2. Step 2: Convert to fraction form
    50,003,114.25/75,137,796.75 = 75,137,796.75/x
  3. Step 3: Cross multiply
    50,003,114.25x = 75,137,796.75 × 75,137,796.75
  4. Step 4: Simplify right side
    50,003,114.25x = 5,645,688,500,444,311
  5. Step 5: Solve for x
    x = 5,645,688,500,444,311/50,003,114.25
  6. Step 6: Final answer
    x = 112,906,737.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.