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Finding the Third Proportional to 9,722,735 and 21,194,962

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Solution

The third proportional to 9,722,735 and 21,194,962 is: 46,203,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,735 : 21,194,962 = 21,194,962 : x
  2. Step 2: Convert to fraction form
    9,722,735/21,194,962 = 21,194,962/x
  3. Step 3: Cross multiply
    9,722,735x = 21,194,962 × 21,194,962
  4. Step 4: Simplify right side
    9,722,735x = 449,226,414,181,444
  5. Step 5: Solve for x
    x = 449,226,414,181,444/9,722,735
  6. Step 6: Final answer
    x = 46,203,708.54

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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.