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Finding the Third Proportional to 7,968,774 and 11,961,322

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Solution

The third proportional to 7,968,774 and 11,961,322 is: 17,954,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968,774 : 11,961,322 = 11,961,322 : x
  2. Step 2: Convert to fraction form
    7,968,774/11,961,322 = 11,961,322/x
  3. Step 3: Cross multiply
    7,968,774x = 11,961,322 × 11,961,322
  4. Step 4: Simplify right side
    7,968,774x = 143,073,223,987,684
  5. Step 5: Solve for x
    x = 143,073,223,987,684/7,968,774
  6. Step 6: Final answer
    x = 17,954,232.86

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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.