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Finding the Third Proportional to 622,041,454.13 and 1,336,395,540.38

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Solution

The third proportional to 622,041,454.13 and 1,336,395,540.38 is: 2,871,115,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,041,454.13 : 1,336,395,540.38 = 1,336,395,540.38 : x
  2. Step 2: Convert to fraction form
    622,041,454.13/1,336,395,540.38 = 1,336,395,540.38/x
  3. Step 3: Cross multiply
    622,041,454.13x = 1,336,395,540.38 × 1,336,395,540.38
  4. Step 4: Simplify right side
    622,041,454.13x = 1,785,953,040,334,188,288
  5. Step 5: Solve for x
    x = 1,785,953,040,334,188,288/622,041,454.13
  6. Step 6: Final answer
    x = 2,871,115,788.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.