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Finding the Third Proportional to 23,629,760 and 35,405,219

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Solution

The third proportional to 23,629,760 and 35,405,219 is: 53,048,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629,760 : 35,405,219 = 35,405,219 : x
  2. Step 2: Convert to fraction form
    23,629,760/35,405,219 = 35,405,219/x
  3. Step 3: Cross multiply
    23,629,760x = 35,405,219 × 35,405,219
  4. Step 4: Simplify right side
    23,629,760x = 1,253,529,532,437,961
  5. Step 5: Solve for x
    x = 1,253,529,532,437,961/23,629,760
  6. Step 6: Final answer
    x = 53,048,762.77

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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.