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Finding the Third Proportional to 179,943,640,660 and 374,781,110,620

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Solution

The third proportional to 179,943,640,660 and 374,781,110,620 is: 780,582,633,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943,640,660 : 374,781,110,620 = 374,781,110,620 : x
  2. Step 2: Convert to fraction form
    179,943,640,660/374,781,110,620 = 374,781,110,620/x
  3. Step 3: Cross multiply
    179,943,640,660x = 374,781,110,620 × 374,781,110,620
  4. Step 4: Simplify right side
    179,943,640,660x = 140,460,880,877,560,677,793,792
  5. Step 5: Solve for x
    x = 140,460,880,877,560,677,793,792/179,943,640,660
  6. Step 6: Final answer
    x = 780,582,633,331.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.