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Finding the Third Proportional to 7,794,962,089.50 and 18,188,873,487

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Solution

The third proportional to 7,794,962,089.50 and 18,188,873,487 is: 42,442,171,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794,962,089.50 : 18,188,873,487 = 18,188,873,487 : x
  2. Step 2: Convert to fraction form
    7,794,962,089.50/18,188,873,487 = 18,188,873,487/x
  3. Step 3: Cross multiply
    7,794,962,089.50x = 18,188,873,487 × 18,188,873,487
  4. Step 4: Simplify right side
    7,794,962,089.50x = 330,835,118,726,091,571,200
  5. Step 5: Solve for x
    x = 330,835,118,726,091,571,200/7,794,962,089.50
  6. Step 6: Final answer
    x = 42,442,171,613.86

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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.