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Finding the Third Proportional to 2,799,777,922.03 and 5,998,905,468.84

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Solution

The third proportional to 2,799,777,922.03 and 5,998,905,468.84 is: 12,853,471,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799,777,922.03 : 5,998,905,468.84 = 5,998,905,468.84 : x
  2. Step 2: Convert to fraction form
    2,799,777,922.03/5,998,905,468.84 = 5,998,905,468.84/x
  3. Step 3: Cross multiply
    2,799,777,922.03x = 5,998,905,468.84 × 5,998,905,468.84
  4. Step 4: Simplify right side
    2,799,777,922.03x = 35,986,866,824,126,451,712
  5. Step 5: Solve for x
    x = 35,986,866,824,126,451,712/2,799,777,922.03
  6. Step 6: Final answer
    x = 12,853,471,891.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.