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Finding the Third Proportional to 480,631,015 and 986,741,521

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Solution

The third proportional to 480,631,015 and 986,741,521 is: 2,025,792,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,631,015 : 986,741,521 = 986,741,521 : x
  2. Step 2: Convert to fraction form
    480,631,015/986,741,521 = 986,741,521/x
  3. Step 3: Cross multiply
    480,631,015x = 986,741,521 × 986,741,521
  4. Step 4: Simplify right side
    480,631,015x = 973,658,829,265,393,408
  5. Step 5: Solve for x
    x = 973,658,829,265,393,408/480,631,015
  6. Step 6: Final answer
    x = 2,025,792,757.60

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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.