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Finding the Third Proportional to 273,240,952 and 422,629,626

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Solution

The third proportional to 273,240,952 and 422,629,626 is: 653,693,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,240,952 : 422,629,626 = 422,629,626 : x
  2. Step 2: Convert to fraction form
    273,240,952/422,629,626 = 422,629,626/x
  3. Step 3: Cross multiply
    273,240,952x = 422,629,626 × 422,629,626
  4. Step 4: Simplify right side
    273,240,952x = 178,615,800,772,899,872
  5. Step 5: Solve for x
    x = 178,615,800,772,899,872/273,240,952
  6. Step 6: Final answer
    x = 653,693,377.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.