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Finding the Third Proportional to 818,401,760 and 1,753,247,680

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Solution

The third proportional to 818,401,760 and 1,753,247,680 is: 3,755,951,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,401,760 : 1,753,247,680 = 1,753,247,680 : x
  2. Step 2: Convert to fraction form
    818,401,760/1,753,247,680 = 1,753,247,680/x
  3. Step 3: Cross multiply
    818,401,760x = 1,753,247,680 × 1,753,247,680
  4. Step 4: Simplify right side
    818,401,760x = 3,073,877,427,425,382,400
  5. Step 5: Solve for x
    x = 3,073,877,427,425,382,400/818,401,760
  6. Step 6: Final answer
    x = 3,755,951,633.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.