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Finding the Third Proportional to 179,943,640,580 and 374,781,110,456

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Solution

The third proportional to 179,943,640,580 and 374,781,110,456 is: 780,582,632,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943,640,580 : 374,781,110,456 = 374,781,110,456 : x
  2. Step 2: Convert to fraction form
    179,943,640,580/374,781,110,456 = 374,781,110,456/x
  3. Step 3: Cross multiply
    179,943,640,580x = 374,781,110,456 × 374,781,110,456
  4. Step 4: Simplify right side
    179,943,640,580x = 140,460,880,754,632,472,657,920
  5. Step 5: Solve for x
    x = 140,460,880,754,632,472,657,920/179,943,640,580
  6. Step 6: Final answer
    x = 780,582,632,994.95

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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.