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Finding the Third Proportional to 6,647,940 and 14,288,994

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Solution

The third proportional to 6,647,940 and 14,288,994 is: 30,712,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,940 : 14,288,994 = 14,288,994 : x
  2. Step 2: Convert to fraction form
    6,647,940/14,288,994 = 14,288,994/x
  3. Step 3: Cross multiply
    6,647,940x = 14,288,994 × 14,288,994
  4. Step 4: Simplify right side
    6,647,940x = 204,175,349,532,036
  5. Step 5: Solve for x
    x = 204,175,349,532,036/6,647,940
  6. Step 6: Final answer
    x = 30,712,574.05

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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.