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Finding the Third Proportional to 5,192,652 and 11,299,650

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Solution

The third proportional to 5,192,652 and 11,299,650 is: 24,588,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192,652 : 11,299,650 = 11,299,650 : x
  2. Step 2: Convert to fraction form
    5,192,652/11,299,650 = 11,299,650/x
  3. Step 3: Cross multiply
    5,192,652x = 11,299,650 × 11,299,650
  4. Step 4: Simplify right side
    5,192,652x = 127,682,090,122,500
  5. Step 5: Solve for x
    x = 127,682,090,122,500/5,192,652
  6. Step 6: Final answer
    x = 24,588,994.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.