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Finding the Third Proportional to 7,644,162,828,769 and 16,768,274,947,867

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Solution

The third proportional to 7,644,162,828,769 and 16,768,274,947,867 is: 36,782,974,280,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644,162,828,769 : 16,768,274,947,867 = 16,768,274,947,867 : x
  2. Step 2: Convert to fraction form
    7,644,162,828,769/16,768,274,947,867 = 16,768,274,947,867/x
  3. Step 3: Cross multiply
    7,644,162,828,769x = 16,768,274,947,867 × 16,768,274,947,867
  4. Step 4: Simplify right side
    7,644,162,828,769x = 281,175,044,727,264,056,245,747,712
  5. Step 5: Solve for x
    x = 281,175,044,727,264,056,245,747,712/7,644,162,828,769
  6. Step 6: Final answer
    x = 36,782,974,280,591.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.