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Finding the Third Proportional to 936,519,560,334 and 1,490,186,725,380

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Solution

The third proportional to 936,519,560,334 and 1,490,186,725,380 is: 2,371,180,027,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,519,560,334 : 1,490,186,725,380 = 1,490,186,725,380 : x
  2. Step 2: Convert to fraction form
    936,519,560,334/1,490,186,725,380 = 1,490,186,725,380/x
  3. Step 3: Cross multiply
    936,519,560,334x = 1,490,186,725,380 × 1,490,186,725,380
  4. Step 4: Simplify right side
    936,519,560,334x = 2,220,656,476,498,767,491,629,056
  5. Step 5: Solve for x
    x = 2,220,656,476,498,767,491,629,056/936,519,560,334
  6. Step 6: Final answer
    x = 2,371,180,027,149.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.