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Finding the Third Proportional to 6,988,084 and 14,314,993

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Solution

The third proportional to 6,988,084 and 14,314,993 is: 29,324,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988,084 : 14,314,993 = 14,314,993 : x
  2. Step 2: Convert to fraction form
    6,988,084/14,314,993 = 14,314,993/x
  3. Step 3: Cross multiply
    6,988,084x = 14,314,993 × 14,314,993
  4. Step 4: Simplify right side
    6,988,084x = 204,919,024,590,049
  5. Step 5: Solve for x
    x = 204,919,024,590,049/6,988,084
  6. Step 6: Final answer
    x = 29,324,064.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.