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Finding the Third Proportional to 952,813,728 and 1,457,250,048

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Solution

The third proportional to 952,813,728 and 1,457,250,048 is: 2,228,743,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,813,728 : 1,457,250,048 = 1,457,250,048 : x
  2. Step 2: Convert to fraction form
    952,813,728/1,457,250,048 = 1,457,250,048/x
  3. Step 3: Cross multiply
    952,813,728x = 1,457,250,048 × 1,457,250,048
  4. Step 4: Simplify right side
    952,813,728x = 2,123,577,702,396,002,304
  5. Step 5: Solve for x
    x = 2,123,577,702,396,002,304/952,813,728
  6. Step 6: Final answer
    x = 2,228,743,814.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.