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Finding the Third Proportional to 3,183,566,118 and 6,850,861,644

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Solution

The third proportional to 3,183,566,118 and 6,850,861,644 is: 14,742,682,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183,566,118 : 6,850,861,644 = 6,850,861,644 : x
  2. Step 2: Convert to fraction form
    3,183,566,118/6,850,861,644 = 6,850,861,644/x
  3. Step 3: Cross multiply
    3,183,566,118x = 6,850,861,644 × 6,850,861,644
  4. Step 4: Simplify right side
    3,183,566,118x = 46,934,305,265,230,381,056
  5. Step 5: Solve for x
    x = 46,934,305,265,230,381,056/3,183,566,118
  6. Step 6: Final answer
    x = 14,742,682,741.80

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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.