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Finding the Third Proportional to 3,274,703,741 and 7,123,169,463

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Solution

The third proportional to 3,274,703,741 and 7,123,169,463 is: 15,494,391,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,703,741 : 7,123,169,463 = 7,123,169,463 : x
  2. Step 2: Convert to fraction form
    3,274,703,741/7,123,169,463 = 7,123,169,463/x
  3. Step 3: Cross multiply
    3,274,703,741x = 7,123,169,463 × 7,123,169,463
  4. Step 4: Simplify right side
    3,274,703,741x = 50,739,543,198,615,707,648
  5. Step 5: Solve for x
    x = 50,739,543,198,615,707,648/3,274,703,741
  6. Step 6: Final answer
    x = 15,494,391,924.17

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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.