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Finding the Third Proportional to 3,667,120 and 7,965,313

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Solution

The third proportional to 3,667,120 and 7,965,313 is: 17,301,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667,120 : 7,965,313 = 7,965,313 : x
  2. Step 2: Convert to fraction form
    3,667,120/7,965,313 = 7,965,313/x
  3. Step 3: Cross multiply
    3,667,120x = 7,965,313 × 7,965,313
  4. Step 4: Simplify right side
    3,667,120x = 63,446,211,187,969
  5. Step 5: Solve for x
    x = 63,446,211,187,969/3,667,120
  6. Step 6: Final answer
    x = 17,301,373.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.