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Finding the Third Proportional to 23,569,296 and 50,740,716

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Solution

The third proportional to 23,569,296 and 50,740,716 is: 109,236,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,569,296 : 50,740,716 = 50,740,716 : x
  2. Step 2: Convert to fraction form
    23,569,296/50,740,716 = 50,740,716/x
  3. Step 3: Cross multiply
    23,569,296x = 50,740,716 × 50,740,716
  4. Step 4: Simplify right side
    23,569,296x = 2,574,620,260,192,656
  5. Step 5: Solve for x
    x = 2,574,620,260,192,656/23,569,296
  6. Step 6: Final answer
    x = 109,236,196.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.