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Finding the Third Proportional to 1,766,989,406 and 3,844,256,764

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Solution

The third proportional to 1,766,989,406 and 3,844,256,764 is: 8,363,553,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,989,406 : 3,844,256,764 = 3,844,256,764 : x
  2. Step 2: Convert to fraction form
    1,766,989,406/3,844,256,764 = 3,844,256,764/x
  3. Step 3: Cross multiply
    1,766,989,406x = 3,844,256,764 × 3,844,256,764
  4. Step 4: Simplify right side
    1,766,989,406x = 14,778,310,067,559,751,680
  5. Step 5: Solve for x
    x = 14,778,310,067,559,751,680/1,766,989,406
  6. Step 6: Final answer
    x = 8,363,553,294.31

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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.