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Finding the Third Proportional to 6,647,942 and 14,288,996

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Solution

The third proportional to 6,647,942 and 14,288,996 is: 30,712,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,942 : 14,288,996 = 14,288,996 : x
  2. Step 2: Convert to fraction form
    6,647,942/14,288,996 = 14,288,996/x
  3. Step 3: Cross multiply
    6,647,942x = 14,288,996 × 14,288,996
  4. Step 4: Simplify right side
    6,647,942x = 204,175,406,688,016
  5. Step 5: Solve for x
    x = 204,175,406,688,016/6,647,942
  6. Step 6: Final answer
    x = 30,712,573.41

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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.