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Finding the Third Proportional to 2,067,445,016 and 4,536,593,824

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Solution

The third proportional to 2,067,445,016 and 4,536,593,824 is: 9,954,646,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067,445,016 : 4,536,593,824 = 4,536,593,824 : x
  2. Step 2: Convert to fraction form
    2,067,445,016/4,536,593,824 = 4,536,593,824/x
  3. Step 3: Cross multiply
    2,067,445,016x = 4,536,593,824 × 4,536,593,824
  4. Step 4: Simplify right side
    2,067,445,016x = 20,580,683,523,954,941,952
  5. Step 5: Solve for x
    x = 20,580,683,523,954,941,952/2,067,445,016
  6. Step 6: Final answer
    x = 9,954,646,128.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.