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Finding the Third Proportional to 6,647,946 and 14,289,015

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Solution

The third proportional to 6,647,946 and 14,289,015 is: 30,712,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,946 : 14,289,015 = 14,289,015 : x
  2. Step 2: Convert to fraction form
    6,647,946/14,289,015 = 14,289,015/x
  3. Step 3: Cross multiply
    6,647,946x = 14,289,015 × 14,289,015
  4. Step 4: Simplify right side
    6,647,946x = 204,175,949,670,225
  5. Step 5: Solve for x
    x = 204,175,949,670,225/6,647,946
  6. Step 6: Final answer
    x = 30,712,636.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.