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Finding the Third Proportional to 678,640,570,937 and 1,476,430,170,010

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Solution

The third proportional to 678,640,570,937 and 1,476,430,170,010 is: 3,212,077,409,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,640,570,937 : 1,476,430,170,010 = 1,476,430,170,010 : x
  2. Step 2: Convert to fraction form
    678,640,570,937/1,476,430,170,010 = 1,476,430,170,010/x
  3. Step 3: Cross multiply
    678,640,570,937x = 1,476,430,170,010 × 1,476,430,170,010
  4. Step 4: Simplify right side
    678,640,570,937x = 2,179,846,046,915,757,558,726,656
  5. Step 5: Solve for x
    x = 2,179,846,046,915,757,558,726,656/678,640,570,937
  6. Step 6: Final answer
    x = 3,212,077,409,262.52

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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.