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Finding the Third Proportional to 50,003,115.75 and 75,137,798.53

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Solution

The third proportional to 50,003,115.75 and 75,137,798.53 is: 112,906,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,003,115.75 : 75,137,798.53 = 75,137,798.53 : x
  2. Step 2: Convert to fraction form
    50,003,115.75/75,137,798.53 = 75,137,798.53/x
  3. Step 3: Cross multiply
    50,003,115.75x = 75,137,798.53 × 75,137,798.53
  4. Step 4: Simplify right side
    50,003,115.75x = 5,645,688,768,122,715
  5. Step 5: Solve for x
    x = 5,645,688,768,122,715/50,003,115.75
  6. Step 6: Final answer
    x = 112,906,739.58

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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.