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Finding the Third Proportional to 1,551,512,716,576 and 3,625,033,775,872

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Solution

The third proportional to 1,551,512,716,576 and 3,625,033,775,872 is: 8,469,714,579,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551,512,716,576 : 3,625,033,775,872 = 3,625,033,775,872 : x
  2. Step 2: Convert to fraction form
    1,551,512,716,576/3,625,033,775,872 = 3,625,033,775,872/x
  3. Step 3: Cross multiply
    1,551,512,716,576x = 3,625,033,775,872 × 3,625,033,775,872
  4. Step 4: Simplify right side
    1,551,512,716,576x = 13,140,869,876,212,809,284,452,352
  5. Step 5: Solve for x
    x = 13,140,869,876,212,809,284,452,352/1,551,512,716,576
  6. Step 6: Final answer
    x = 8,469,714,579,725.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.