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Finding the Third Proportional to 678,640,570,936 and 1,476,430,170,007

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Solution

The third proportional to 678,640,570,936 and 1,476,430,170,007 is: 3,212,077,409,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,640,570,936 : 1,476,430,170,007 = 1,476,430,170,007 : x
  2. Step 2: Convert to fraction form
    678,640,570,936/1,476,430,170,007 = 1,476,430,170,007/x
  3. Step 3: Cross multiply
    678,640,570,936x = 1,476,430,170,007 × 1,476,430,170,007
  4. Step 4: Simplify right side
    678,640,570,936x = 2,179,846,046,906,898,920,243,200
  5. Step 5: Solve for x
    x = 2,179,846,046,906,898,920,243,200/678,640,570,936
  6. Step 6: Final answer
    x = 3,212,077,409,254.20

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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.