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Finding the Third Proportional to 858,904,472,642 and 1,868,606,934,019

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Solution

The third proportional to 858,904,472,642 and 1,868,606,934,019 is: 4,065,285,471,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,904,472,642 : 1,868,606,934,019 = 1,868,606,934,019 : x
  2. Step 2: Convert to fraction form
    858,904,472,642/1,868,606,934,019 = 1,868,606,934,019/x
  3. Step 3: Cross multiply
    858,904,472,642x = 1,868,606,934,019 × 1,868,606,934,019
  4. Step 4: Simplify right side
    858,904,472,642x = 3,491,691,873,863,887,646,359,552
  5. Step 5: Solve for x
    x = 3,491,691,873,863,887,646,359,552/858,904,472,642
  6. Step 6: Final answer
    x = 4,065,285,471,297.41

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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.