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Finding the Third Proportional to 5,182,057,760 and 11,189,841,448

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Solution

The third proportional to 5,182,057,760 and 11,189,841,448 is: 24,162,708,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,057,760 : 11,189,841,448 = 11,189,841,448 : x
  2. Step 2: Convert to fraction form
    5,182,057,760/11,189,841,448 = 11,189,841,448/x
  3. Step 3: Cross multiply
    5,182,057,760x = 11,189,841,448 × 11,189,841,448
  4. Step 4: Simplify right side
    5,182,057,760x = 125,212,551,631,378,743,296
  5. Step 5: Solve for x
    x = 125,212,551,631,378,743,296/5,182,057,760
  6. Step 6: Final answer
    x = 24,162,708,605.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.