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Finding the Third Proportional to 2,529,954 and 5,463,857

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Solution

The third proportional to 2,529,954 and 5,463,857 is: 11,800,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529,954 : 5,463,857 = 5,463,857 : x
  2. Step 2: Convert to fraction form
    2,529,954/5,463,857 = 5,463,857/x
  3. Step 3: Cross multiply
    2,529,954x = 5,463,857 × 5,463,857
  4. Step 4: Simplify right side
    2,529,954x = 29,853,733,316,449
  5. Step 5: Solve for x
    x = 29,853,733,316,449/2,529,954
  6. Step 6: Final answer
    x = 11,800,109.14

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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.