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Finding the Third Proportional to 12,647,873,100.38 and 19,647,288,936

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Solution

The third proportional to 12,647,873,100.38 and 19,647,288,936 is: 30,520,227,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647,873,100.38 : 19,647,288,936 = 19,647,288,936 : x
  2. Step 2: Convert to fraction form
    12,647,873,100.38/19,647,288,936 = 19,647,288,936/x
  3. Step 3: Cross multiply
    12,647,873,100.38x = 19,647,288,936 × 19,647,288,936
  4. Step 4: Simplify right side
    12,647,873,100.38x = 386,015,962,534,668,009,472
  5. Step 5: Solve for x
    x = 386,015,962,534,668,009,472/12,647,873,100.38
  6. Step 6: Final answer
    x = 30,520,227,351.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.