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Finding the Third Proportional to 617,633,622 and 1,357,691,133

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Solution

The third proportional to 617,633,622 and 1,357,691,133 is: 2,984,496,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,633,622 : 1,357,691,133 = 1,357,691,133 : x
  2. Step 2: Convert to fraction form
    617,633,622/1,357,691,133 = 1,357,691,133/x
  3. Step 3: Cross multiply
    617,633,622x = 1,357,691,133 × 1,357,691,133
  4. Step 4: Simplify right side
    617,633,622x = 1,843,325,212,626,823,680
  5. Step 5: Solve for x
    x = 1,843,325,212,626,823,680/617,633,622
  6. Step 6: Final answer
    x = 2,984,496,223.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.