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Finding the Third Proportional to 807,655,086 and 1,756,819,036

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Solution

The third proportional to 807,655,086 and 1,756,819,036 is: 3,821,449,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,655,086 : 1,756,819,036 = 1,756,819,036 : x
  2. Step 2: Convert to fraction form
    807,655,086/1,756,819,036 = 1,756,819,036/x
  3. Step 3: Cross multiply
    807,655,086x = 1,756,819,036 × 1,756,819,036
  4. Step 4: Simplify right side
    807,655,086x = 3,086,413,125,251,969,536
  5. Step 5: Solve for x
    x = 3,086,413,125,251,969,536/807,655,086
  6. Step 6: Final answer
    x = 3,821,449,500.85

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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.