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Finding the Third Proportional to 7,629,836,151 and 10,305,344,631

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Solution

The third proportional to 7,629,836,151 and 10,305,344,631 is: 13,919,057,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629,836,151 : 10,305,344,631 = 10,305,344,631 : x
  2. Step 2: Convert to fraction form
    7,629,836,151/10,305,344,631 = 10,305,344,631/x
  3. Step 3: Cross multiply
    7,629,836,151x = 10,305,344,631 × 10,305,344,631
  4. Step 4: Simplify right side
    7,629,836,151x = 106,200,127,963,680,522,240
  5. Step 5: Solve for x
    x = 106,200,127,963,680,522,240/7,629,836,151
  6. Step 6: Final answer
    x = 13,919,057,481.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.