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Finding the Third Proportional to 23,284,946 and 50,647,003

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Solution

The third proportional to 23,284,946 and 50,647,003 is: 110,162,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284,946 : 50,647,003 = 50,647,003 : x
  2. Step 2: Convert to fraction form
    23,284,946/50,647,003 = 50,647,003/x
  3. Step 3: Cross multiply
    23,284,946x = 50,647,003 × 50,647,003
  4. Step 4: Simplify right side
    23,284,946x = 2,565,118,912,882,009
  5. Step 5: Solve for x
    x = 2,565,118,912,882,009/23,284,946
  6. Step 6: Final answer
    x = 110,162,115.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.