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Finding the Third Proportional to 179,943,639,376 and 374,781,107,856

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Solution

The third proportional to 179,943,639,376 and 374,781,107,856 is: 780,582,627,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943,639,376 : 374,781,107,856 = 374,781,107,856 : x
  2. Step 2: Convert to fraction form
    179,943,639,376/374,781,107,856 = 374,781,107,856/x
  3. Step 3: Cross multiply
    179,943,639,376x = 374,781,107,856 × 374,781,107,856
  4. Step 4: Simplify right side
    179,943,639,376x = 140,460,878,805,770,711,334,912
  5. Step 5: Solve for x
    x = 140,460,878,805,770,711,334,912/179,943,639,376
  6. Step 6: Final answer
    x = 780,582,627,387.41

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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.