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Finding the Third Proportional to 1,798,680,741 and 4,010,936,463

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Solution

The third proportional to 1,798,680,741 and 4,010,936,463 is: 8,944,117,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,680,741 : 4,010,936,463 = 4,010,936,463 : x
  2. Step 2: Convert to fraction form
    1,798,680,741/4,010,936,463 = 4,010,936,463/x
  3. Step 3: Cross multiply
    1,798,680,741x = 4,010,936,463 × 4,010,936,463
  4. Step 4: Simplify right side
    1,798,680,741x = 16,087,611,310,222,950,400
  5. Step 5: Solve for x
    x = 16,087,611,310,222,950,400/1,798,680,741
  6. Step 6: Final answer
    x = 8,944,117,176.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.