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Finding the Third Proportional to 3,274,703,766 and 7,123,169,514

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Solution

The third proportional to 3,274,703,766 and 7,123,169,514 is: 15,494,392,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,703,766 : 7,123,169,514 = 7,123,169,514 : x
  2. Step 2: Convert to fraction form
    3,274,703,766/7,123,169,514 = 7,123,169,514/x
  3. Step 3: Cross multiply
    3,274,703,766x = 7,123,169,514 × 7,123,169,514
  4. Step 4: Simplify right side
    3,274,703,766x = 50,739,543,925,178,998,784
  5. Step 5: Solve for x
    x = 50,739,543,925,178,998,784/3,274,703,766
  6. Step 6: Final answer
    x = 15,494,392,027.76

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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.