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Finding the Third Proportional to 1,003,659,876 and 2,089,800,120

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Solution

The third proportional to 1,003,659,876 and 2,089,800,120 is: 4,351,339,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,659,876 : 2,089,800,120 = 2,089,800,120 : x
  2. Step 2: Convert to fraction form
    1,003,659,876/2,089,800,120 = 2,089,800,120/x
  3. Step 3: Cross multiply
    1,003,659,876x = 2,089,800,120 × 2,089,800,120
  4. Step 4: Simplify right side
    1,003,659,876x = 4,367,264,541,552,014,336
  5. Step 5: Solve for x
    x = 4,367,264,541,552,014,336/1,003,659,876
  6. Step 6: Final answer
    x = 4,351,339,179.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.