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Finding the Third Proportional to 9,286,016 and 14,203,768

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Solution

The third proportional to 9,286,016 and 14,203,768 is: 21,725,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286,016 : 14,203,768 = 14,203,768 : x
  2. Step 2: Convert to fraction form
    9,286,016/14,203,768 = 14,203,768/x
  3. Step 3: Cross multiply
    9,286,016x = 14,203,768 × 14,203,768
  4. Step 4: Simplify right side
    9,286,016x = 201,747,025,397,824
  5. Step 5: Solve for x
    x = 201,747,025,397,824/9,286,016
  6. Step 6: Final answer
    x = 21,725,896.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.