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Finding the Third Proportional to 7,450,676 and 16,364,428

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Solution

The third proportional to 7,450,676 and 16,364,428 is: 35,942,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450,676 : 16,364,428 = 16,364,428 : x
  2. Step 2: Convert to fraction form
    7,450,676/16,364,428 = 16,364,428/x
  3. Step 3: Cross multiply
    7,450,676x = 16,364,428 × 16,364,428
  4. Step 4: Simplify right side
    7,450,676x = 267,794,503,767,184
  5. Step 5: Solve for x
    x = 267,794,503,767,184/7,450,676
  6. Step 6: Final answer
    x = 35,942,309.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.