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Finding the Third Proportional to 858,904,472,640 and 1,868,606,934,015

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Solution

The third proportional to 858,904,472,640 and 1,868,606,934,015 is: 4,065,285,471,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,904,472,640 : 1,868,606,934,015 = 1,868,606,934,015 : x
  2. Step 2: Convert to fraction form
    858,904,472,640/1,868,606,934,015 = 1,868,606,934,015/x
  3. Step 3: Cross multiply
    858,904,472,640x = 1,868,606,934,015 × 1,868,606,934,015
  4. Step 4: Simplify right side
    858,904,472,640x = 3,491,691,873,848,938,475,814,912
  5. Step 5: Solve for x
    x = 3,491,691,873,848,938,475,814,912/858,904,472,640
  6. Step 6: Final answer
    x = 4,065,285,471,289.47

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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.