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Finding the Third Proportional to 9,580,969,695 and 20,968,096,981

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Solution

The third proportional to 9,580,969,695 and 20,968,096,981 is: 45,888,997,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580,969,695 : 20,968,096,981 = 20,968,096,981 : x
  2. Step 2: Convert to fraction form
    9,580,969,695/20,968,096,981 = 20,968,096,981/x
  3. Step 3: Cross multiply
    9,580,969,695x = 20,968,096,981 × 20,968,096,981
  4. Step 4: Simplify right side
    9,580,969,695x = 439,661,091,004,621,324,288
  5. Step 5: Solve for x
    x = 439,661,091,004,621,324,288/9,580,969,695
  6. Step 6: Final answer
    x = 45,888,997,147.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.