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Finding the Third Proportional to 2,466,364,891 and 5,820,179,697

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Solution

The third proportional to 2,466,364,891 and 5,820,179,697 is: 13,734,582,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,364,891 : 5,820,179,697 = 5,820,179,697 : x
  2. Step 2: Convert to fraction form
    2,466,364,891/5,820,179,697 = 5,820,179,697/x
  3. Step 3: Cross multiply
    2,466,364,891x = 5,820,179,697 × 5,820,179,697
  4. Step 4: Simplify right side
    2,466,364,891x = 33,874,491,705,371,013,120
  5. Step 5: Solve for x
    x = 33,874,491,705,371,013,120/2,466,364,891
  6. Step 6: Final answer
    x = 13,734,582,351.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.