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Finding the Third Proportional to 2,785,157,818 and 4,166,694,100

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Solution

The third proportional to 2,785,157,818 and 4,166,694,100 is: 6,233,520,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785,157,818 : 4,166,694,100 = 4,166,694,100 : x
  2. Step 2: Convert to fraction form
    2,785,157,818/4,166,694,100 = 4,166,694,100/x
  3. Step 3: Cross multiply
    2,785,157,818x = 4,166,694,100 × 4,166,694,100
  4. Step 4: Simplify right side
    2,785,157,818x = 17,361,339,722,974,810,112
  5. Step 5: Solve for x
    x = 17,361,339,722,974,810,112/2,785,157,818
  6. Step 6: Final answer
    x = 6,233,520,991.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.