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Finding the Third Proportional to 50,453,928 and 77,950,512

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Solution

The third proportional to 50,453,928 and 77,950,512 is: 120,432,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,453,928 : 77,950,512 = 77,950,512 : x
  2. Step 2: Convert to fraction form
    50,453,928/77,950,512 = 77,950,512/x
  3. Step 3: Cross multiply
    50,453,928x = 77,950,512 × 77,950,512
  4. Step 4: Simplify right side
    50,453,928x = 6,076,282,321,062,144
  5. Step 5: Solve for x
    x = 6,076,282,321,062,144/50,453,928
  6. Step 6: Final answer
    x = 120,432,294.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.