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Finding the Third Proportional to 480,631,016 and 986,741,524

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Solution

The third proportional to 480,631,016 and 986,741,524 is: 2,025,792,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,631,016 : 986,741,524 = 986,741,524 : x
  2. Step 2: Convert to fraction form
    480,631,016/986,741,524 = 986,741,524/x
  3. Step 3: Cross multiply
    480,631,016x = 986,741,524 × 986,741,524
  4. Step 4: Simplify right side
    480,631,016x = 973,658,835,185,842,560
  5. Step 5: Solve for x
    x = 973,658,835,185,842,560/480,631,016
  6. Step 6: Final answer
    x = 2,025,792,765.70

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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.