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Finding the Third Proportional to 110,399,366,016 and 180,253,138,752

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Solution

The third proportional to 110,399,366,016 and 180,253,138,752 is: 294,305,983,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,399,366,016 : 180,253,138,752 = 180,253,138,752 : x
  2. Step 2: Convert to fraction form
    110,399,366,016/180,253,138,752 = 180,253,138,752/x
  3. Step 3: Cross multiply
    110,399,366,016x = 180,253,138,752 × 180,253,138,752
  4. Step 4: Simplify right side
    110,399,366,016x = 32,491,194,029,947,763,032,064
  5. Step 5: Solve for x
    x = 32,491,194,029,947,763,032,064/110,399,366,016
  6. Step 6: Final answer
    x = 294,305,983,833.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.