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Finding the Third Proportional to 5,321,746 and 11,673,568

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Solution

The third proportional to 5,321,746 and 11,673,568 is: 25,606,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321,746 : 11,673,568 = 11,673,568 : x
  2. Step 2: Convert to fraction form
    5,321,746/11,673,568 = 11,673,568/x
  3. Step 3: Cross multiply
    5,321,746x = 11,673,568 × 11,673,568
  4. Step 4: Simplify right side
    5,321,746x = 136,272,189,850,624
  5. Step 5: Solve for x
    x = 136,272,189,850,624/5,321,746
  6. Step 6: Final answer
    x = 25,606,669.29

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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.