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Finding the Third Proportional to 23,629,756 and 35,405,214

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Solution

The third proportional to 23,629,756 and 35,405,214 is: 53,048,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629,756 : 35,405,214 = 35,405,214 : x
  2. Step 2: Convert to fraction form
    23,629,756/35,405,214 = 35,405,214/x
  3. Step 3: Cross multiply
    23,629,756x = 35,405,214 × 35,405,214
  4. Step 4: Simplify right side
    23,629,756x = 1,253,529,178,385,796
  5. Step 5: Solve for x
    x = 1,253,529,178,385,796/23,629,756
  6. Step 6: Final answer
    x = 53,048,756.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.