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Finding the Third Proportional to 408,628,693,003 and 954,741,043,868

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Solution

The third proportional to 408,628,693,003 and 954,741,043,868 is: 2,230,705,959,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,628,693,003 : 954,741,043,868 = 954,741,043,868 : x
  2. Step 2: Convert to fraction form
    408,628,693,003/954,741,043,868 = 954,741,043,868/x
  3. Step 3: Cross multiply
    408,628,693,003x = 954,741,043,868 × 954,741,043,868
  4. Step 4: Simplify right side
    408,628,693,003x = 911,530,460,846,158,266,761,216
  5. Step 5: Solve for x
    x = 911,530,460,846,158,266,761,216/408,628,693,003
  6. Step 6: Final answer
    x = 2,230,705,959,846.70

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.