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Finding the Third Proportional to 5,777,847 and 13,663,968

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Solution

The third proportional to 5,777,847 and 13,663,968 is: 32,313,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,847 : 13,663,968 = 13,663,968 : x
  2. Step 2: Convert to fraction form
    5,777,847/13,663,968 = 13,663,968/x
  3. Step 3: Cross multiply
    5,777,847x = 13,663,968 × 13,663,968
  4. Step 4: Simplify right side
    5,777,847x = 186,704,021,505,024
  5. Step 5: Solve for x
    x = 186,704,021,505,024/5,777,847
  6. Step 6: Final answer
    x = 32,313,770.42

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