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Finding the Third Proportional to 6,847,698 and 16,194,051

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Solution

The third proportional to 6,847,698 and 16,194,051 is: 38,297,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847,698 : 16,194,051 = 16,194,051 : x
  2. Step 2: Convert to fraction form
    6,847,698/16,194,051 = 16,194,051/x
  3. Step 3: Cross multiply
    6,847,698x = 16,194,051 × 16,194,051
  4. Step 4: Simplify right side
    6,847,698x = 262,247,287,790,601
  5. Step 5: Solve for x
    x = 262,247,287,790,601/6,847,698
  6. Step 6: Final answer
    x = 38,297,145.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.