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Finding the Third Proportional to 1,954,338,858 and 4,259,841,864

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Solution

The third proportional to 1,954,338,858 and 4,259,841,864 is: 9,285,110,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,338,858 : 4,259,841,864 = 4,259,841,864 : x
  2. Step 2: Convert to fraction form
    1,954,338,858/4,259,841,864 = 4,259,841,864/x
  3. Step 3: Cross multiply
    1,954,338,858x = 4,259,841,864 × 4,259,841,864
  4. Step 4: Simplify right side
    1,954,338,858x = 18,146,252,706,286,995,456
  5. Step 5: Solve for x
    x = 18,146,252,706,286,995,456/1,954,338,858
  6. Step 6: Final answer
    x = 9,285,110,732.98

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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.