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Finding the Third Proportional to 1,025,801,554 and 2,419,125,109

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Solution

The third proportional to 1,025,801,554 and 2,419,125,109 is: 5,704,969,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,801,554 : 2,419,125,109 = 2,419,125,109 : x
  2. Step 2: Convert to fraction form
    1,025,801,554/2,419,125,109 = 2,419,125,109/x
  3. Step 3: Cross multiply
    1,025,801,554x = 2,419,125,109 × 2,419,125,109
  4. Step 4: Simplify right side
    1,025,801,554x = 5,852,166,292,994,262,016
  5. Step 5: Solve for x
    x = 5,852,166,292,994,262,016/1,025,801,554
  6. Step 6: Final answer
    x = 5,704,969,221.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.