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Finding the Third Proportional to 6,508,809 and 13,997,137

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Solution

The third proportional to 6,508,809 and 13,997,137 is: 30,100,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,809 : 13,997,137 = 13,997,137 : x
  2. Step 2: Convert to fraction form
    6,508,809/13,997,137 = 13,997,137/x
  3. Step 3: Cross multiply
    6,508,809x = 13,997,137 × 13,997,137
  4. Step 4: Simplify right side
    6,508,809x = 195,919,844,196,769
  5. Step 5: Solve for x
    x = 195,919,844,196,769/6,508,809
  6. Step 6: Final answer
    x = 30,100,721.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.