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Finding the Third Proportional to 807,655,082 and 1,756,819,027

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Solution

The third proportional to 807,655,082 and 1,756,819,027 is: 3,821,449,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,655,082 : 1,756,819,027 = 1,756,819,027 : x
  2. Step 2: Convert to fraction form
    807,655,082/1,756,819,027 = 1,756,819,027/x
  3. Step 3: Cross multiply
    807,655,082x = 1,756,819,027 × 1,756,819,027
  4. Step 4: Simplify right side
    807,655,082x = 3,086,413,093,629,226,496
  5. Step 5: Solve for x
    x = 3,086,413,093,629,226,496/807,655,082
  6. Step 6: Final answer
    x = 3,821,449,480.62

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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.