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Finding the Third Proportional to 1,138,228,082 and 2,538,171,536

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Solution

The third proportional to 1,138,228,082 and 2,538,171,536 is: 5,659,950,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,228,082 : 2,538,171,536 = 2,538,171,536 : x
  2. Step 2: Convert to fraction form
    1,138,228,082/2,538,171,536 = 2,538,171,536/x
  3. Step 3: Cross multiply
    1,138,228,082x = 2,538,171,536 × 2,538,171,536
  4. Step 4: Simplify right side
    1,138,228,082x = 6,442,314,746,160,599,040
  5. Step 5: Solve for x
    x = 6,442,314,746,160,599,040/1,138,228,082
  6. Step 6: Final answer
    x = 5,659,950,626.80

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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.