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Finding the Third Proportional to 2,851,027 and 6,203,961

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Solution

The third proportional to 2,851,027 and 6,203,961 is: 13,500,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851,027 : 6,203,961 = 6,203,961 : x
  2. Step 2: Convert to fraction form
    2,851,027/6,203,961 = 6,203,961/x
  3. Step 3: Cross multiply
    2,851,027x = 6,203,961 × 6,203,961
  4. Step 4: Simplify right side
    2,851,027x = 38,489,132,089,521
  5. Step 5: Solve for x
    x = 38,489,132,089,521/2,851,027
  6. Step 6: Final answer
    x = 13,500,093.86

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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.