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Finding the Third Proportional to 22,494,064,776.75 and 48,373,408,723.50

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Solution

The third proportional to 22,494,064,776.75 and 48,373,408,723.50 is: 104,026,848,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494,064,776.75 : 48,373,408,723.50 = 48,373,408,723.50 : x
  2. Step 2: Convert to fraction form
    22,494,064,776.75/48,373,408,723.50 = 48,373,408,723.50/x
  3. Step 3: Cross multiply
    22,494,064,776.75x = 48,373,408,723.50 × 48,373,408,723.50
  4. Step 4: Simplify right side
    22,494,064,776.75x = 2,339,986,671,530,785,898,496
  5. Step 5: Solve for x
    x = 2,339,986,671,530,785,898,496/22,494,064,776.75
  6. Step 6: Final answer
    x = 104,026,848,626.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.