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Finding the Third Proportional to 14,548,839.75 and 22,822,728.75

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Solution

The third proportional to 14,548,839.75 and 22,822,728.75 is: 35,801,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548,839.75 : 22,822,728.75 = 22,822,728.75 : x
  2. Step 2: Convert to fraction form
    14,548,839.75/22,822,728.75 = 22,822,728.75/x
  3. Step 3: Cross multiply
    14,548,839.75x = 22,822,728.75 × 22,822,728.75
  4. Step 4: Simplify right side
    14,548,839.75x = 520,876,947,596,076.56
  5. Step 5: Solve for x
    x = 520,876,947,596,076.56/14,548,839.75
  6. Step 6: Final answer
    x = 35,801,957.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.