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Finding the Third Proportional to 1,481,826,193 and 2,926,175,953

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Solution

The third proportional to 1,481,826,193 and 2,926,175,953 is: 5,778,346,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,826,193 : 2,926,175,953 = 2,926,175,953 : x
  2. Step 2: Convert to fraction form
    1,481,826,193/2,926,175,953 = 2,926,175,953/x
  3. Step 3: Cross multiply
    1,481,826,193x = 2,926,175,953 × 2,926,175,953
  4. Step 4: Simplify right side
    1,481,826,193x = 8,562,505,707,915,458,560
  5. Step 5: Solve for x
    x = 8,562,505,707,915,458,560/1,481,826,193
  6. Step 6: Final answer
    x = 5,778,346,845.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.