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Finding the Third Proportional to 7,263,591,909,891 and 16,007,735,166,530

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Solution

The third proportional to 7,263,591,909,891 and 16,007,735,166,530 is: 35,278,356,540,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263,591,909,891 : 16,007,735,166,530 = 16,007,735,166,530 : x
  2. Step 2: Convert to fraction form
    7,263,591,909,891/16,007,735,166,530 = 16,007,735,166,530/x
  3. Step 3: Cross multiply
    7,263,591,909,891x = 16,007,735,166,530 × 16,007,735,166,530
  4. Step 4: Simplify right side
    7,263,591,909,891x = 256,247,585,161,761,231,669,821,440
  5. Step 5: Solve for x
    x = 256,247,585,161,761,231,669,821,440/7,263,591,909,891
  6. Step 6: Final answer
    x = 35,278,356,540,491.08

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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.