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Finding the Third Proportional to 7,794,961,794 and 18,188,872,749

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Solution

The third proportional to 7,794,961,794 and 18,188,872,749 is: 42,442,169,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794,961,794 : 18,188,872,749 = 18,188,872,749 : x
  2. Step 2: Convert to fraction form
    7,794,961,794/18,188,872,749 = 18,188,872,749/x
  3. Step 3: Cross multiply
    7,794,961,794x = 18,188,872,749 × 18,188,872,749
  4. Step 4: Simplify right side
    7,794,961,794x = 330,835,091,879,314,784,256
  5. Step 5: Solve for x
    x = 330,835,091,879,314,784,256/7,794,961,794
  6. Step 6: Final answer
    x = 42,442,169,778.69

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.