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Finding the Third Proportional to 5,441,678,080 and 8,161,099,892

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Solution

The third proportional to 5,441,678,080 and 8,161,099,892 is: 12,239,524,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441,678,080 : 8,161,099,892 = 8,161,099,892 : x
  2. Step 2: Convert to fraction form
    5,441,678,080/8,161,099,892 = 8,161,099,892/x
  3. Step 3: Cross multiply
    5,441,678,080x = 8,161,099,892 × 8,161,099,892
  4. Step 4: Simplify right side
    5,441,678,080x = 66,603,551,447,202,414,592
  5. Step 5: Solve for x
    x = 66,603,551,447,202,414,592/5,441,678,080
  6. Step 6: Final answer
    x = 12,239,524,365.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.