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Finding the Third Proportional to 694,509,012,520 and 1,504,423,930,079

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Solution

The third proportional to 694,509,012,520 and 1,504,423,930,079 is: 3,258,836,560,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,509,012,520 : 1,504,423,930,079 = 1,504,423,930,079 : x
  2. Step 2: Convert to fraction form
    694,509,012,520/1,504,423,930,079 = 1,504,423,930,079/x
  3. Step 3: Cross multiply
    694,509,012,520x = 1,504,423,930,079 × 1,504,423,930,079
  4. Step 4: Simplify right side
    694,509,012,520x = 2,263,291,361,394,343,848,968,192
  5. Step 5: Solve for x
    x = 2,263,291,361,394,343,848,968,192/694,509,012,520
  6. Step 6: Final answer
    x = 3,258,836,560,208.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.