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Finding the Third Proportional to 9,722,814 and 21,195,132

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Solution

The third proportional to 9,722,814 and 21,195,132 is: 46,204,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,814 : 21,195,132 = 21,195,132 : x
  2. Step 2: Convert to fraction form
    9,722,814/21,195,132 = 21,195,132/x
  3. Step 3: Cross multiply
    9,722,814x = 21,195,132 × 21,195,132
  4. Step 4: Simplify right side
    9,722,814x = 449,233,620,497,424
  5. Step 5: Solve for x
    x = 449,233,620,497,424/9,722,814
  6. Step 6: Final answer
    x = 46,204,074.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.