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Finding the Third Proportional to 687,647,622 and 1,484,193,660

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Solution

The third proportional to 687,647,622 and 1,484,193,660 is: 3,203,429,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,647,622 : 1,484,193,660 = 1,484,193,660 : x
  2. Step 2: Convert to fraction form
    687,647,622/1,484,193,660 = 1,484,193,660/x
  3. Step 3: Cross multiply
    687,647,622x = 1,484,193,660 × 1,484,193,660
  4. Step 4: Simplify right side
    687,647,622x = 2,202,830,820,384,195,584
  5. Step 5: Solve for x
    x = 2,202,830,820,384,195,584/687,647,622
  6. Step 6: Final answer
    x = 3,203,429,707.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.