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Finding the Third Proportional to 480,631,019 and 986,741,529

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Solution

The third proportional to 480,631,019 and 986,741,529 is: 2,025,792,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,631,019 : 986,741,529 = 986,741,529 : x
  2. Step 2: Convert to fraction form
    480,631,019/986,741,529 = 986,741,529/x
  3. Step 3: Cross multiply
    480,631,019x = 986,741,529 × 986,741,529
  4. Step 4: Simplify right side
    480,631,019x = 973,658,845,053,257,856
  5. Step 5: Solve for x
    x = 973,658,845,053,257,856/480,631,019
  6. Step 6: Final answer
    x = 2,025,792,773.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.