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Finding the Third Proportional to 14,641,954,968 and 20,619,099,086

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Solution

The third proportional to 14,641,954,968 and 20,619,099,086 is: 29,036,235,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641,954,968 : 20,619,099,086 = 20,619,099,086 : x
  2. Step 2: Convert to fraction form
    14,641,954,968/20,619,099,086 = 20,619,099,086/x
  3. Step 3: Cross multiply
    14,641,954,968x = 20,619,099,086 × 20,619,099,086
  4. Step 4: Simplify right side
    14,641,954,968x = 425,147,247,118,286,061,568
  5. Step 5: Solve for x
    x = 425,147,247,118,286,061,568/14,641,954,968
  6. Step 6: Final answer
    x = 29,036,235,123.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.