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Finding the Third Proportional to 2,123,274,117 and 4,654,694,922

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Solution

The third proportional to 2,123,274,117 and 4,654,694,922 is: 10,204,139,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,274,117 : 4,654,694,922 = 4,654,694,922 : x
  2. Step 2: Convert to fraction form
    2,123,274,117/4,654,694,922 = 4,654,694,922/x
  3. Step 3: Cross multiply
    2,123,274,117x = 4,654,694,922 × 4,654,694,922
  4. Step 4: Simplify right side
    2,123,274,117x = 21,666,184,816,892,588,032
  5. Step 5: Solve for x
    x = 21,666,184,816,892,588,032/2,123,274,117
  6. Step 6: Final answer
    x = 10,204,139,278.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.