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Finding the Third Proportional to 5,120,802 and 10,972,009

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Solution

The third proportional to 5,120,802 and 10,972,009 is: 23,509,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120,802 : 10,972,009 = 10,972,009 : x
  2. Step 2: Convert to fraction form
    5,120,802/10,972,009 = 10,972,009/x
  3. Step 3: Cross multiply
    5,120,802x = 10,972,009 × 10,972,009
  4. Step 4: Simplify right side
    5,120,802x = 120,384,981,496,081
  5. Step 5: Solve for x
    x = 120,384,981,496,081/5,120,802
  6. Step 6: Final answer
    x = 23,509,009.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.