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Finding the Third Proportional to 3,267,940,395,763 and 7,151,491,948,627

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Solution

The third proportional to 3,267,940,395,763 and 7,151,491,948,627 is: 15,650,174,390,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267,940,395,763 : 7,151,491,948,627 = 7,151,491,948,627 : x
  2. Step 2: Convert to fraction form
    3,267,940,395,763/7,151,491,948,627 = 7,151,491,948,627/x
  3. Step 3: Cross multiply
    3,267,940,395,763x = 7,151,491,948,627 × 7,151,491,948,627
  4. Step 4: Simplify right side
    3,267,940,395,763x = 51,143,837,091,276,805,090,836,480
  5. Step 5: Solve for x
    x = 51,143,837,091,276,805,090,836,480/3,267,940,395,763
  6. Step 6: Final answer
    x = 15,650,174,390,446.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.