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Finding the Third Proportional to 8,494,903,106 and 11,811,483,759

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Solution

The third proportional to 8,494,903,106 and 11,811,483,759 is: 16,422,924,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494,903,106 : 11,811,483,759 = 11,811,483,759 : x
  2. Step 2: Convert to fraction form
    8,494,903,106/11,811,483,759 = 11,811,483,759/x
  3. Step 3: Cross multiply
    8,494,903,106x = 11,811,483,759 × 11,811,483,759
  4. Step 4: Simplify right side
    8,494,903,106x = 139,511,148,589,120,765,952
  5. Step 5: Solve for x
    x = 139,511,148,589,120,765,952/8,494,903,106
  6. Step 6: Final answer
    x = 16,422,924,057.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.