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Finding the Third Proportional to 9,014,500.13 and 13,967,067.94

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Solution

The third proportional to 9,014,500.13 and 13,967,067.94 is: 21,640,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014,500.13 : 13,967,067.94 = 13,967,067.94 : x
  2. Step 2: Convert to fraction form
    9,014,500.13/13,967,067.94 = 13,967,067.94/x
  3. Step 3: Cross multiply
    9,014,500.13x = 13,967,067.94 × 13,967,067.94
  4. Step 4: Simplify right side
    9,014,500.13x = 195,078,986,770,740.50
  5. Step 5: Solve for x
    x = 195,078,986,770,740.50/9,014,500.13
  6. Step 6: Final answer
    x = 21,640,577.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.