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Finding the Third Proportional to 936,519,560,328 and 1,490,186,725,374

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Solution

The third proportional to 936,519,560,328 and 1,490,186,725,374 is: 2,371,180,027,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,519,560,328 : 1,490,186,725,374 = 1,490,186,725,374 : x
  2. Step 2: Convert to fraction form
    936,519,560,328/1,490,186,725,374 = 1,490,186,725,374/x
  3. Step 3: Cross multiply
    936,519,560,328x = 1,490,186,725,374 × 1,490,186,725,374
  4. Step 4: Simplify right side
    936,519,560,328x = 2,220,656,476,480,885,395,292,160
  5. Step 5: Solve for x
    x = 2,220,656,476,480,885,395,292,160/936,519,560,328
  6. Step 6: Final answer
    x = 2,371,180,027,145.55

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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.