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Finding the Third Proportional to 3,411,497,198 and 5,159,236,197

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Solution

The third proportional to 3,411,497,198 and 5,159,236,197 is: 7,802,356,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411,497,198 : 5,159,236,197 = 5,159,236,197 : x
  2. Step 2: Convert to fraction form
    3,411,497,198/5,159,236,197 = 5,159,236,197/x
  3. Step 3: Cross multiply
    3,411,497,198x = 5,159,236,197 × 5,159,236,197
  4. Step 4: Simplify right side
    3,411,497,198x = 26,617,718,136,435,023,872
  5. Step 5: Solve for x
    x = 26,617,718,136,435,023,872/3,411,497,198
  6. Step 6: Final answer
    x = 7,802,356,734.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.