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Finding the Third Proportional to 6,563,904 and 14,177,568

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Solution

The third proportional to 6,563,904 and 14,177,568 is: 30,622,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563,904 : 14,177,568 = 14,177,568 : x
  2. Step 2: Convert to fraction form
    6,563,904/14,177,568 = 14,177,568/x
  3. Step 3: Cross multiply
    6,563,904x = 14,177,568 × 14,177,568
  4. Step 4: Simplify right side
    6,563,904x = 201,003,434,394,624
  5. Step 5: Solve for x
    x = 201,003,434,394,624/6,563,904
  6. Step 6: Final answer
    x = 30,622,543.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.