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Finding the Third Proportional to 36,319,626,992 and 51,123,750,993

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Solution

The third proportional to 36,319,626,992 and 51,123,750,993 is: 71,962,135,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,319,626,992 : 51,123,750,993 = 51,123,750,993 : x
  2. Step 2: Convert to fraction form
    36,319,626,992/51,123,750,993 = 51,123,750,993/x
  3. Step 3: Cross multiply
    36,319,626,992x = 51,123,750,993 × 51,123,750,993
  4. Step 4: Simplify right side
    36,319,626,992x = 2,613,637,915,594,268,344,320
  5. Step 5: Solve for x
    x = 2,613,637,915,594,268,344,320/36,319,626,992
  6. Step 6: Final answer
    x = 71,962,135,408.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.