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Finding the Third Proportional to 3,146,077 and 6,892,407

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Solution

The third proportional to 3,146,077 and 6,892,407 is: 15,099,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146,077 : 6,892,407 = 6,892,407 : x
  2. Step 2: Convert to fraction form
    3,146,077/6,892,407 = 6,892,407/x
  3. Step 3: Cross multiply
    3,146,077x = 6,892,407 × 6,892,407
  4. Step 4: Simplify right side
    3,146,077x = 47,505,274,253,649
  5. Step 5: Solve for x
    x = 47,505,274,253,649/3,146,077
  6. Step 6: Final answer
    x = 15,099,844.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.