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Finding the Third Proportional to 678,640,570,944 and 1,476,430,170,024

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Solution

The third proportional to 678,640,570,944 and 1,476,430,170,024 is: 3,212,077,409,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,640,570,944 : 1,476,430,170,024 = 1,476,430,170,024 : x
  2. Step 2: Convert to fraction form
    678,640,570,944/1,476,430,170,024 = 1,476,430,170,024/x
  3. Step 3: Cross multiply
    678,640,570,944x = 1,476,430,170,024 × 1,476,430,170,024
  4. Step 4: Simplify right side
    678,640,570,944x = 2,179,846,046,957,097,424,257,024
  5. Step 5: Solve for x
    x = 2,179,846,046,957,097,424,257,024/678,640,570,944
  6. Step 6: Final answer
    x = 3,212,077,409,290.31

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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.