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Finding the Third Proportional to 858,904,472,638 and 1,868,606,934,011

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Solution

The third proportional to 858,904,472,638 and 1,868,606,934,011 is: 4,065,285,471,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,904,472,638 : 1,868,606,934,011 = 1,868,606,934,011 : x
  2. Step 2: Convert to fraction form
    858,904,472,638/1,868,606,934,011 = 1,868,606,934,011/x
  3. Step 3: Cross multiply
    858,904,472,638x = 1,868,606,934,011 × 1,868,606,934,011
  4. Step 4: Simplify right side
    858,904,472,638x = 3,491,691,873,833,989,842,141,184
  5. Step 5: Solve for x
    x = 3,491,691,873,833,989,842,141,184/858,904,472,638
  6. Step 6: Final answer
    x = 4,065,285,471,281.53

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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.