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Finding the Third Proportional to 1,798,680,745 and 4,010,936,471

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Solution

The third proportional to 1,798,680,745 and 4,010,936,471 is: 8,944,117,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,680,745 : 4,010,936,471 = 4,010,936,471 : x
  2. Step 2: Convert to fraction form
    1,798,680,745/4,010,936,471 = 4,010,936,471/x
  3. Step 3: Cross multiply
    1,798,680,745x = 4,010,936,471 × 4,010,936,471
  4. Step 4: Simplify right side
    1,798,680,745x = 16,087,611,374,397,933,568
  5. Step 5: Solve for x
    x = 16,087,611,374,397,933,568/1,798,680,745
  6. Step 6: Final answer
    x = 8,944,117,192.07

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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.