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Finding the Third Proportional to 2,052,134,788 and 4,394,843,198

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Solution

The third proportional to 2,052,134,788 and 4,394,843,198 is: 9,411,977,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,134,788 : 4,394,843,198 = 4,394,843,198 : x
  2. Step 2: Convert to fraction form
    2,052,134,788/4,394,843,198 = 4,394,843,198/x
  3. Step 3: Cross multiply
    2,052,134,788x = 4,394,843,198 × 4,394,843,198
  4. Step 4: Simplify right side
    2,052,134,788x = 19,314,646,735,006,867,456
  5. Step 5: Solve for x
    x = 19,314,646,735,006,867,456/2,052,134,788
  6. Step 6: Final answer
    x = 9,411,977,638.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.