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Finding the Third Proportional to 2,083,682,132 and 4,338,842,452

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Solution

The third proportional to 2,083,682,132 and 4,338,842,452 is: 9,034,753,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,682,132 : 4,338,842,452 = 4,338,842,452 : x
  2. Step 2: Convert to fraction form
    2,083,682,132/4,338,842,452 = 4,338,842,452/x
  3. Step 3: Cross multiply
    2,083,682,132x = 4,338,842,452 × 4,338,842,452
  4. Step 4: Simplify right side
    2,083,682,132x = 18,825,553,823,277,371,392
  5. Step 5: Solve for x
    x = 18,825,553,823,277,371,392/2,083,682,132
  6. Step 6: Final answer
    x = 9,034,753,206.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.