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Finding the Third Proportional to 6,847,804 and 16,194,296

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Solution

The third proportional to 6,847,804 and 16,194,296 is: 38,297,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847,804 : 16,194,296 = 16,194,296 : x
  2. Step 2: Convert to fraction form
    6,847,804/16,194,296 = 16,194,296/x
  3. Step 3: Cross multiply
    6,847,804x = 16,194,296 × 16,194,296
  4. Step 4: Simplify right side
    6,847,804x = 262,255,222,935,616
  5. Step 5: Solve for x
    x = 262,255,222,935,616/6,847,804
  6. Step 6: Final answer
    x = 38,297,711.64

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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.