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Finding the Third Proportional to 50,996,821 and 76,922,183

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Solution

The third proportional to 50,996,821 and 76,922,183 is: 116,027,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,996,821 : 76,922,183 = 76,922,183 : x
  2. Step 2: Convert to fraction form
    50,996,821/76,922,183 = 76,922,183/x
  3. Step 3: Cross multiply
    50,996,821x = 76,922,183 × 76,922,183
  4. Step 4: Simplify right side
    50,996,821x = 5,917,022,237,485,489
  5. Step 5: Solve for x
    x = 5,917,022,237,485,489/50,996,821
  6. Step 6: Final answer
    x = 116,027,276.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.