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Finding the Third Proportional to 6,384,825,978 and 14,917,834,437

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Solution

The third proportional to 6,384,825,978 and 14,917,834,437 is: 34,854,792,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,825,978 : 14,917,834,437 = 14,917,834,437 : x
  2. Step 2: Convert to fraction form
    6,384,825,978/14,917,834,437 = 14,917,834,437/x
  3. Step 3: Cross multiply
    6,384,825,978x = 14,917,834,437 × 14,917,834,437
  4. Step 4: Simplify right side
    6,384,825,978x = 222,541,784,289,743,110,144
  5. Step 5: Solve for x
    x = 222,541,784,289,743,110,144/6,384,825,978
  6. Step 6: Final answer
    x = 34,854,792,449.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.