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Finding the Third Proportional to 8,769,774,291 and 20,695,777,116

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Solution

The third proportional to 8,769,774,291 and 20,695,777,116 is: 48,839,933,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769,774,291 : 20,695,777,116 = 20,695,777,116 : x
  2. Step 2: Convert to fraction form
    8,769,774,291/20,695,777,116 = 20,695,777,116/x
  3. Step 3: Cross multiply
    8,769,774,291x = 20,695,777,116 × 20,695,777,116
  4. Step 4: Simplify right side
    8,769,774,291x = 428,315,190,435,149,250,560
  5. Step 5: Solve for x
    x = 428,315,190,435,149,250,560/8,769,774,291
  6. Step 6: Final answer
    x = 48,839,933,186.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.