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Finding the Third Proportional to 4,307,431 and 6,668,847

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Solution

The third proportional to 4,307,431 and 6,668,847 is: 10,324,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307,431 : 6,668,847 = 6,668,847 : x
  2. Step 2: Convert to fraction form
    4,307,431/6,668,847 = 6,668,847/x
  3. Step 3: Cross multiply
    4,307,431x = 6,668,847 × 6,668,847
  4. Step 4: Simplify right side
    4,307,431x = 44,473,520,309,409
  5. Step 5: Solve for x
    x = 44,473,520,309,409/4,307,431
  6. Step 6: Final answer
    x = 10,324,836.38

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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.