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Finding the Third Proportional to 9,608,138,802 and 20,770,307,298

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Solution

The third proportional to 9,608,138,802 and 20,770,307,298 is: 44,900,024,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608,138,802 : 20,770,307,298 = 20,770,307,298 : x
  2. Step 2: Convert to fraction form
    9,608,138,802/20,770,307,298 = 20,770,307,298/x
  3. Step 3: Cross multiply
    9,608,138,802x = 20,770,307,298 × 20,770,307,298
  4. Step 4: Simplify right side
    9,608,138,802x = 431,405,665,253,352,079,360
  5. Step 5: Solve for x
    x = 431,405,665,253,352,079,360/9,608,138,802
  6. Step 6: Final answer
    x = 44,900,024,254.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.