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Finding the Third Proportional to 1,766,989,404 and 3,844,256,760

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Solution

The third proportional to 1,766,989,404 and 3,844,256,760 is: 8,363,553,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,989,404 : 3,844,256,760 = 3,844,256,760 : x
  2. Step 2: Convert to fraction form
    1,766,989,404/3,844,256,760 = 3,844,256,760/x
  3. Step 3: Cross multiply
    1,766,989,404x = 3,844,256,760 × 3,844,256,760
  4. Step 4: Simplify right side
    1,766,989,404x = 14,778,310,036,805,697,536
  5. Step 5: Solve for x
    x = 14,778,310,036,805,697,536/1,766,989,404
  6. Step 6: Final answer
    x = 8,363,553,286.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.