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Finding the Third Proportional to 4,749,170 and 7,356,351

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Solution

The third proportional to 4,749,170 and 7,356,351 is: 11,394,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749,170 : 7,356,351 = 7,356,351 : x
  2. Step 2: Convert to fraction form
    4,749,170/7,356,351 = 7,356,351/x
  3. Step 3: Cross multiply
    4,749,170x = 7,356,351 × 7,356,351
  4. Step 4: Simplify right side
    4,749,170x = 54,115,900,035,201
  5. Step 5: Solve for x
    x = 54,115,900,035,201/4,749,170
  6. Step 6: Final answer
    x = 11,394,812.15

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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.