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Finding the Third Proportional to 23,847,736 and 51,728,288

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Solution

The third proportional to 23,847,736 and 51,728,288 is: 112,204,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847,736 : 51,728,288 = 51,728,288 : x
  2. Step 2: Convert to fraction form
    23,847,736/51,728,288 = 51,728,288/x
  3. Step 3: Cross multiply
    23,847,736x = 51,728,288 × 51,728,288
  4. Step 4: Simplify right side
    23,847,736x = 2,675,815,779,410,944
  5. Step 5: Solve for x
    x = 2,675,815,779,410,944/23,847,736
  6. Step 6: Final answer
    x = 112,204,184.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.