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Finding the Third Proportional to 14,222,304 and 31,280,256

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Solution

The third proportional to 14,222,304 and 31,280,256 is: 68,797,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222,304 : 31,280,256 = 31,280,256 : x
  2. Step 2: Convert to fraction form
    14,222,304/31,280,256 = 31,280,256/x
  3. Step 3: Cross multiply
    14,222,304x = 31,280,256 × 31,280,256
  4. Step 4: Simplify right side
    14,222,304x = 978,454,415,425,536
  5. Step 5: Solve for x
    x = 978,454,415,425,536/14,222,304
  6. Step 6: Final answer
    x = 68,797,180.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.