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Finding the Third Proportional to 11,702,975 and 15,532,824

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Solution

The third proportional to 11,702,975 and 15,532,824 is: 20,616,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702,975 : 15,532,824 = 15,532,824 : x
  2. Step 2: Convert to fraction form
    11,702,975/15,532,824 = 15,532,824/x
  3. Step 3: Cross multiply
    11,702,975x = 15,532,824 × 15,532,824
  4. Step 4: Simplify right side
    11,702,975x = 241,268,621,414,976
  5. Step 5: Solve for x
    x = 241,268,621,414,976/11,702,975
  6. Step 6: Final answer
    x = 20,616,007.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.