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Finding the Third Proportional to 1,199,120,494 and 2,673,957,642

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Solution

The third proportional to 1,199,120,494 and 2,673,957,642 is: 5,962,744,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,120,494 : 2,673,957,642 = 2,673,957,642 : x
  2. Step 2: Convert to fraction form
    1,199,120,494/2,673,957,642 = 2,673,957,642/x
  3. Step 3: Cross multiply
    1,199,120,494x = 2,673,957,642 × 2,673,957,642
  4. Step 4: Simplify right side
    1,199,120,494x = 7,150,049,471,210,200,064
  5. Step 5: Solve for x
    x = 7,150,049,471,210,200,064/1,199,120,494
  6. Step 6: Final answer
    x = 5,962,744,784.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.