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Finding the Third Proportional to 2,225,104,162 and 4,633,325,050

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Solution

The third proportional to 2,225,104,162 and 4,633,325,050 is: 9,647,953,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,104,162 : 4,633,325,050 = 4,633,325,050 : x
  2. Step 2: Convert to fraction form
    2,225,104,162/4,633,325,050 = 4,633,325,050/x
  3. Step 3: Cross multiply
    2,225,104,162x = 4,633,325,050 × 4,633,325,050
  4. Step 4: Simplify right side
    2,225,104,162x = 21,467,701,018,957,504,512
  5. Step 5: Solve for x
    x = 21,467,701,018,957,504,512/2,225,104,162
  6. Step 6: Final answer
    x = 9,647,953,289.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.