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Finding the Third Proportional to 858,904,472,612 and 1,868,606,933,959

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Solution

The third proportional to 858,904,472,612 and 1,868,606,933,959 is: 4,065,285,471,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,904,472,612 : 1,868,606,933,959 = 1,868,606,933,959 : x
  2. Step 2: Convert to fraction form
    858,904,472,612/1,868,606,933,959 = 1,868,606,933,959/x
  3. Step 3: Cross multiply
    858,904,472,612x = 1,868,606,933,959 × 1,868,606,933,959
  4. Step 4: Simplify right side
    858,904,472,612x = 3,491,691,873,639,654,383,157,248
  5. Step 5: Solve for x
    x = 3,491,691,873,639,654,383,157,248/858,904,472,612
  6. Step 6: Final answer
    x = 4,065,285,471,178.34

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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.