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Finding the Third Proportional to 512,442,878,016 and 1,102,006,647,078

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Solution

The third proportional to 512,442,878,016 and 1,102,006,647,078 is: 2,369,861,505,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,442,878,016 : 1,102,006,647,078 = 1,102,006,647,078 : x
  2. Step 2: Convert to fraction form
    512,442,878,016/1,102,006,647,078 = 1,102,006,647,078/x
  3. Step 3: Cross multiply
    512,442,878,016x = 1,102,006,647,078 × 1,102,006,647,078
  4. Step 4: Simplify right side
    512,442,878,016x = 1,214,418,650,204,095,570,247,680
  5. Step 5: Solve for x
    x = 1,214,418,650,204,095,570,247,680/512,442,878,016
  6. Step 6: Final answer
    x = 2,369,861,505,161.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.