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Finding the Third Proportional to 480,631,008 and 986,741,508

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Solution

The third proportional to 480,631,008 and 986,741,508 is: 2,025,792,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,631,008 : 986,741,508 = 986,741,508 : x
  2. Step 2: Convert to fraction form
    480,631,008/986,741,508 = 986,741,508/x
  3. Step 3: Cross multiply
    480,631,008x = 986,741,508 × 986,741,508
  4. Step 4: Simplify right side
    480,631,008x = 973,658,803,610,114,048
  5. Step 5: Solve for x
    x = 973,658,803,610,114,048/480,631,008
  6. Step 6: Final answer
    x = 2,025,792,733.73

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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.