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Finding the Third Proportional to 408,628,693,001 and 954,741,043,863

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Solution

The third proportional to 408,628,693,001 and 954,741,043,863 is: 2,230,705,959,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,628,693,001 : 954,741,043,863 = 954,741,043,863 : x
  2. Step 2: Convert to fraction form
    408,628,693,001/954,741,043,863 = 954,741,043,863/x
  3. Step 3: Cross multiply
    408,628,693,001x = 954,741,043,863 × 954,741,043,863
  4. Step 4: Simplify right side
    408,628,693,001x = 911,530,460,836,610,822,897,664
  5. Step 5: Solve for x
    x = 911,530,460,836,610,822,897,664/408,628,693,001
  6. Step 6: Final answer
    x = 2,230,705,959,834.25

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Why These Related Problems?

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