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Finding the Third Proportional to 7,972,736 and 17,008,480

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Solution

The third proportional to 7,972,736 and 17,008,480 is: 36,284,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972,736 : 17,008,480 = 17,008,480 : x
  2. Step 2: Convert to fraction form
    7,972,736/17,008,480 = 17,008,480/x
  3. Step 3: Cross multiply
    7,972,736x = 17,008,480 × 17,008,480
  4. Step 4: Simplify right side
    7,972,736x = 289,288,391,910,400
  5. Step 5: Solve for x
    x = 289,288,391,910,400/7,972,736
  6. Step 6: Final answer
    x = 36,284,707.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.