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Finding the Third Proportional to 6,988,078.50 and 14,314,983

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Solution

The third proportional to 6,988,078.50 and 14,314,983 is: 29,324,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988,078.50 : 14,314,983 = 14,314,983 : x
  2. Step 2: Convert to fraction form
    6,988,078.50/14,314,983 = 14,314,983/x
  3. Step 3: Cross multiply
    6,988,078.50x = 14,314,983 × 14,314,983
  4. Step 4: Simplify right side
    6,988,078.50x = 204,918,738,290,289
  5. Step 5: Solve for x
    x = 204,918,738,290,289/6,988,078.50
  6. Step 6: Final answer
    x = 29,324,046.42

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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.