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Finding the Third Proportional to 3,146,078 and 6,892,408

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Solution

The third proportional to 3,146,078 and 6,892,408 is: 15,099,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146,078 : 6,892,408 = 6,892,408 : x
  2. Step 2: Convert to fraction form
    3,146,078/6,892,408 = 6,892,408/x
  3. Step 3: Cross multiply
    3,146,078x = 6,892,408 × 6,892,408
  4. Step 4: Simplify right side
    3,146,078x = 47,505,288,038,464
  5. Step 5: Solve for x
    x = 47,505,288,038,464/3,146,078
  6. Step 6: Final answer
    x = 15,099,844.33

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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.