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Finding the Third Proportional to 9,350,120,119 and 20,570,245,703

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Solution

The third proportional to 9,350,120,119 and 20,570,245,703 is: 45,254,499,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350,120,119 : 20,570,245,703 = 20,570,245,703 : x
  2. Step 2: Convert to fraction form
    9,350,120,119/20,570,245,703 = 20,570,245,703/x
  3. Step 3: Cross multiply
    9,350,120,119x = 20,570,245,703 × 20,570,245,703
  4. Step 4: Simplify right side
    9,350,120,119x = 423,135,008,281,789,988,864
  5. Step 5: Solve for x
    x = 423,135,008,281,789,988,864/9,350,120,119
  6. Step 6: Final answer
    x = 45,254,499,717.28

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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.