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Finding the Third Proportional to 6,384,028 and 14,008,326

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Solution

The third proportional to 6,384,028 and 14,008,326 is: 30,738,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,028 : 14,008,326 = 14,008,326 : x
  2. Step 2: Convert to fraction form
    6,384,028/14,008,326 = 14,008,326/x
  3. Step 3: Cross multiply
    6,384,028x = 14,008,326 × 14,008,326
  4. Step 4: Simplify right side
    6,384,028x = 196,233,197,322,276
  5. Step 5: Solve for x
    x = 196,233,197,322,276/6,384,028
  6. Step 6: Final answer
    x = 30,738,147.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.