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Finding the Third Proportional to 480,631,013 and 986,741,518

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Solution

The third proportional to 480,631,013 and 986,741,518 is: 2,025,792,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,631,013 : 986,741,518 = 986,741,518 : x
  2. Step 2: Convert to fraction form
    480,631,013/986,741,518 = 986,741,518/x
  3. Step 3: Cross multiply
    480,631,013x = 986,741,518 × 986,741,518
  4. Step 4: Simplify right side
    480,631,013x = 973,658,823,344,944,384
  5. Step 5: Solve for x
    x = 973,658,823,344,944,384/480,631,013
  6. Step 6: Final answer
    x = 2,025,792,753.71

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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.