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Finding the Third Proportional to 48,380,646 and 69,709,401

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Solution

The third proportional to 48,380,646 and 69,709,401 is: 100,441,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,380,646 : 69,709,401 = 69,709,401 : x
  2. Step 2: Convert to fraction form
    48,380,646/69,709,401 = 69,709,401/x
  3. Step 3: Cross multiply
    48,380,646x = 69,709,401 × 69,709,401
  4. Step 4: Simplify right side
    48,380,646x = 4,859,400,587,778,801
  5. Step 5: Solve for x
    x = 4,859,400,587,778,801/48,380,646
  6. Step 6: Final answer
    x = 100,441,002.54

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.