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Finding the Third Proportional to 4,791,314 and 10,449,741

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Solution

The third proportional to 4,791,314 and 10,449,741 is: 22,790,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791,314 : 10,449,741 = 10,449,741 : x
  2. Step 2: Convert to fraction form
    4,791,314/10,449,741 = 10,449,741/x
  3. Step 3: Cross multiply
    4,791,314x = 10,449,741 × 10,449,741
  4. Step 4: Simplify right side
    4,791,314x = 109,197,086,967,081
  5. Step 5: Solve for x
    x = 109,197,086,967,081/4,791,314
  6. Step 6: Final answer
    x = 22,790,634.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.