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Finding the Third Proportional to 1,877,972,204,920 and 4,067,783,900,012

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Solution

The third proportional to 1,877,972,204,920 and 4,067,783,900,012 is: 8,811,028,093,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,972,204,920 : 4,067,783,900,012 = 4,067,783,900,012 : x
  2. Step 2: Convert to fraction form
    1,877,972,204,920/4,067,783,900,012 = 4,067,783,900,012/x
  3. Step 3: Cross multiply
    1,877,972,204,920x = 4,067,783,900,012 × 4,067,783,900,012
  4. Step 4: Simplify right side
    1,877,972,204,920x = 16,546,865,857,196,835,823,681,536
  5. Step 5: Solve for x
    x = 16,546,865,857,196,835,823,681,536/1,877,972,204,920
  6. Step 6: Final answer
    x = 8,811,028,093,944.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.