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Finding the Third Proportional to 539,378,013 and 1,183,743,288

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Solution

The third proportional to 539,378,013 and 1,183,743,288 is: 2,597,896,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,378,013 : 1,183,743,288 = 1,183,743,288 : x
  2. Step 2: Convert to fraction form
    539,378,013/1,183,743,288 = 1,183,743,288/x
  3. Step 3: Cross multiply
    539,378,013x = 1,183,743,288 × 1,183,743,288
  4. Step 4: Simplify right side
    539,378,013x = 1,401,248,171,885,050,880
  5. Step 5: Solve for x
    x = 1,401,248,171,885,050,880/539,378,013
  6. Step 6: Final answer
    x = 2,597,896,351.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.