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Finding the Third Proportional to 480,631,011 and 986,741,514

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Solution

The third proportional to 480,631,011 and 986,741,514 is: 2,025,792,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,631,011 : 986,741,514 = 986,741,514 : x
  2. Step 2: Convert to fraction form
    480,631,011/986,741,514 = 986,741,514/x
  3. Step 3: Cross multiply
    480,631,011x = 986,741,514 × 986,741,514
  4. Step 4: Simplify right side
    480,631,011x = 973,658,815,451,012,224
  5. Step 5: Solve for x
    x = 973,658,815,451,012,224/480,631,011
  6. Step 6: Final answer
    x = 2,025,792,745.72

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