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Finding the Third Proportional to 5,451,683,840 and 11,858,559,100

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Solution

The third proportional to 5,451,683,840 and 11,858,559,100 is: 25,794,860,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451,683,840 : 11,858,559,100 = 11,858,559,100 : x
  2. Step 2: Convert to fraction form
    5,451,683,840/11,858,559,100 = 11,858,559,100/x
  3. Step 3: Cross multiply
    5,451,683,840x = 11,858,559,100 × 11,858,559,100
  4. Step 4: Simplify right side
    5,451,683,840x = 140,625,423,928,192,811,008
  5. Step 5: Solve for x
    x = 140,625,423,928,192,811,008/5,451,683,840
  6. Step 6: Final answer
    x = 25,794,860,460.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.