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Finding the Third Proportional to 858,904,472,615 and 1,868,606,933,963

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Solution

The third proportional to 858,904,472,615 and 1,868,606,933,963 is: 4,065,285,471,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,904,472,615 : 1,868,606,933,963 = 1,868,606,933,963 : x
  2. Step 2: Convert to fraction form
    858,904,472,615/1,868,606,933,963 = 1,868,606,933,963/x
  3. Step 3: Cross multiply
    858,904,472,615x = 1,868,606,933,963 × 1,868,606,933,963
  4. Step 4: Simplify right side
    858,904,472,615x = 3,491,691,873,654,603,553,701,888
  5. Step 5: Solve for x
    x = 3,491,691,873,654,603,553,701,888/858,904,472,615
  6. Step 6: Final answer
    x = 4,065,285,471,181.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.