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Finding the Third Proportional to 10,910,667,073 and 23,524,374,050

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Solution

The third proportional to 10,910,667,073 and 23,524,374,050 is: 50,720,654,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910,667,073 : 23,524,374,050 = 23,524,374,050 : x
  2. Step 2: Convert to fraction form
    10,910,667,073/23,524,374,050 = 23,524,374,050/x
  3. Step 3: Cross multiply
    10,910,667,073x = 23,524,374,050 × 23,524,374,050
  4. Step 4: Simplify right side
    10,910,667,073x = 553,396,174,444,313,378,816
  5. Step 5: Solve for x
    x = 553,396,174,444,313,378,816/10,910,667,073
  6. Step 6: Final answer
    x = 50,720,654,451.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.