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Finding the Third Proportional to 678,640,570,920 and 1,476,430,169,976

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Solution

The third proportional to 678,640,570,920 and 1,476,430,169,976 is: 3,212,077,409,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,640,570,920 : 1,476,430,169,976 = 1,476,430,169,976 : x
  2. Step 2: Convert to fraction form
    678,640,570,920/1,476,430,169,976 = 1,476,430,169,976/x
  3. Step 3: Cross multiply
    678,640,570,920x = 1,476,430,169,976 × 1,476,430,169,976
  4. Step 4: Simplify right side
    678,640,570,920x = 2,179,846,046,815,360,282,263,552
  5. Step 5: Solve for x
    x = 2,179,846,046,815,360,282,263,552/678,640,570,920
  6. Step 6: Final answer
    x = 3,212,077,409,195.05

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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.