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Finding the Third Proportional to 858,904,472,599.50 and 1,868,606,933,932.50

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Solution

The third proportional to 858,904,472,599.50 and 1,868,606,933,932.50 is: 4,065,285,471,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,904,472,599.50 : 1,868,606,933,932.50 = 1,868,606,933,932.50 : x
  2. Step 2: Convert to fraction form
    858,904,472,599.50/1,868,606,933,932.50 = 1,868,606,933,932.50/x
  3. Step 3: Cross multiply
    858,904,472,599.50x = 1,868,606,933,932.50 × 1,868,606,933,932.50
  4. Step 4: Simplify right side
    858,904,472,599.50x = 3,491,691,873,540,618,342,891,520
  5. Step 5: Solve for x
    x = 3,491,691,873,540,618,342,891,520/858,904,472,599.50
  6. Step 6: Final answer
    x = 4,065,285,471,122.19

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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.