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Finding the Third Proportional to 11,309,503.50 and 24,412,671

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Solution

The third proportional to 11,309,503.50 and 24,412,671 is: 52,697,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309,503.50 : 24,412,671 = 24,412,671 : x
  2. Step 2: Convert to fraction form
    11,309,503.50/24,412,671 = 24,412,671/x
  3. Step 3: Cross multiply
    11,309,503.50x = 24,412,671 × 24,412,671
  4. Step 4: Simplify right side
    11,309,503.50x = 595,978,505,354,241
  5. Step 5: Solve for x
    x = 595,978,505,354,241/11,309,503.50
  6. Step 6: Final answer
    x = 52,697,141.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.