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Finding the Third Proportional to 4,543,499,868 and 6,790,208,067

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Solution

The third proportional to 4,543,499,868 and 6,790,208,067 is: 10,147,887,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543,499,868 : 6,790,208,067 = 6,790,208,067 : x
  2. Step 2: Convert to fraction form
    4,543,499,868/6,790,208,067 = 6,790,208,067/x
  3. Step 3: Cross multiply
    4,543,499,868x = 6,790,208,067 × 6,790,208,067
  4. Step 4: Simplify right side
    4,543,499,868x = 46,106,925,593,151,873,024
  5. Step 5: Solve for x
    x = 46,106,925,593,151,873,024/4,543,499,868
  6. Step 6: Final answer
    x = 10,147,887,516.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.