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Finding the Third Proportional to 1,003,659,878 and 2,089,800,124

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Solution

The third proportional to 1,003,659,878 and 2,089,800,124 is: 4,351,339,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,659,878 : 2,089,800,124 = 2,089,800,124 : x
  2. Step 2: Convert to fraction form
    1,003,659,878/2,089,800,124 = 2,089,800,124/x
  3. Step 3: Cross multiply
    1,003,659,878x = 2,089,800,124 × 2,089,800,124
  4. Step 4: Simplify right side
    1,003,659,878x = 4,367,264,558,270,415,360
  5. Step 5: Solve for x
    x = 4,367,264,558,270,415,360/1,003,659,878
  6. Step 6: Final answer
    x = 4,351,339,187.71

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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.