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Finding the Third Proportional to 5,181,811,812 and 11,283,679,944

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Solution

The third proportional to 5,181,811,812 and 11,283,679,944 is: 24,570,833,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181,811,812 : 11,283,679,944 = 11,283,679,944 : x
  2. Step 2: Convert to fraction form
    5,181,811,812/11,283,679,944 = 11,283,679,944/x
  3. Step 3: Cross multiply
    5,181,811,812x = 11,283,679,944 × 11,283,679,944
  4. Step 4: Simplify right side
    5,181,811,812x = 127,321,433,078,627,844,096
  5. Step 5: Solve for x
    x = 127,321,433,078,627,844,096/5,181,811,812
  6. Step 6: Final answer
    x = 24,570,833,078.84

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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.