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Finding the Third Proportional to 9,350,120,118 and 20,570,245,701

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Solution

The third proportional to 9,350,120,118 and 20,570,245,701 is: 45,254,499,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350,120,118 : 20,570,245,701 = 20,570,245,701 : x
  2. Step 2: Convert to fraction form
    9,350,120,118/20,570,245,701 = 20,570,245,701/x
  3. Step 3: Cross multiply
    9,350,120,118x = 20,570,245,701 × 20,570,245,701
  4. Step 4: Simplify right side
    9,350,120,118x = 423,135,008,199,508,951,040
  5. Step 5: Solve for x
    x = 423,135,008,199,508,951,040/9,350,120,118
  6. Step 6: Final answer
    x = 45,254,499,713.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.