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Finding the Third Proportional to 4,741,650 and 6,775,713

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Solution

The third proportional to 4,741,650 and 6,775,713 is: 9,682,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741,650 : 6,775,713 = 6,775,713 : x
  2. Step 2: Convert to fraction form
    4,741,650/6,775,713 = 6,775,713/x
  3. Step 3: Cross multiply
    4,741,650x = 6,775,713 × 6,775,713
  4. Step 4: Simplify right side
    4,741,650x = 45,910,286,658,369
  5. Step 5: Solve for x
    x = 45,910,286,658,369/4,741,650
  6. Step 6: Final answer
    x = 9,682,344.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.