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Finding the Third Proportional to 512,442,878,036 and 1,102,006,647,180

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Solution

The third proportional to 512,442,878,036 and 1,102,006,647,180 is: 2,369,861,505,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,442,878,036 : 1,102,006,647,180 = 1,102,006,647,180 : x
  2. Step 2: Convert to fraction form
    512,442,878,036/1,102,006,647,180 = 1,102,006,647,180/x
  3. Step 3: Cross multiply
    512,442,878,036x = 1,102,006,647,180 × 1,102,006,647,180
  4. Step 4: Simplify right side
    512,442,878,036x = 1,214,418,650,428,904,895,938,560
  5. Step 5: Solve for x
    x = 1,214,418,650,428,904,895,938,560/512,442,878,036
  6. Step 6: Final answer
    x = 2,369,861,505,507.33

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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.