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Finding the Third Proportional to 50,003,287 and 75,138,082.50

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Solution

The third proportional to 50,003,287 and 75,138,082.50 is: 112,907,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,003,287 : 75,138,082.50 = 75,138,082.50 : x
  2. Step 2: Convert to fraction form
    50,003,287/75,138,082.50 = 75,138,082.50/x
  3. Step 3: Cross multiply
    50,003,287x = 75,138,082.50 × 75,138,082.50
  4. Step 4: Simplify right side
    50,003,287x = 5,645,731,441,776,806
  5. Step 5: Solve for x
    x = 5,645,731,441,776,806/50,003,287
  6. Step 6: Final answer
    x = 112,907,206.32

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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.