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Finding the Third Proportional to 37,956,978,800 and 79,055,591,200

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Solution

The third proportional to 37,956,978,800 and 79,055,591,200 is: 164,654,477,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,956,978,800 : 79,055,591,200 = 79,055,591,200 : x
  2. Step 2: Convert to fraction form
    37,956,978,800/79,055,591,200 = 79,055,591,200/x
  3. Step 3: Cross multiply
    37,956,978,800x = 79,055,591,200 × 79,055,591,200
  4. Step 4: Simplify right side
    37,956,978,800x = 6,249,786,499,981,516,996,608
  5. Step 5: Solve for x
    x = 6,249,786,499,981,516,996,608/37,956,978,800
  6. Step 6: Final answer
    x = 164,654,477,188.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.