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Finding the Third Proportional to 678,640,570,942 and 1,476,430,170,020

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Solution

The third proportional to 678,640,570,942 and 1,476,430,170,020 is: 3,212,077,409,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,640,570,942 : 1,476,430,170,020 = 1,476,430,170,020 : x
  2. Step 2: Convert to fraction form
    678,640,570,942/1,476,430,170,020 = 1,476,430,170,020/x
  3. Step 3: Cross multiply
    678,640,570,942x = 1,476,430,170,020 × 1,476,430,170,020
  4. Step 4: Simplify right side
    678,640,570,942x = 2,179,846,046,945,285,995,757,568
  5. Step 5: Solve for x
    x = 2,179,846,046,945,285,995,757,568/678,640,570,942
  6. Step 6: Final answer
    x = 3,212,077,409,282.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.