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Finding the Third Proportional to 23,140,926 and 48,197,204

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Solution

The third proportional to 23,140,926 and 48,197,204 is: 100,383,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140,926 : 48,197,204 = 48,197,204 : x
  2. Step 2: Convert to fraction form
    23,140,926/48,197,204 = 48,197,204/x
  3. Step 3: Cross multiply
    23,140,926x = 48,197,204 × 48,197,204
  4. Step 4: Simplify right side
    23,140,926x = 2,322,970,473,417,616
  5. Step 5: Solve for x
    x = 2,322,970,473,417,616/23,140,926
  6. Step 6: Final answer
    x = 100,383,643.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.