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Finding the Third Proportional to 14,278,324 and 21,752,005

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Solution

The third proportional to 14,278,324 and 21,752,005 is: 33,137,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278,324 : 21,752,005 = 21,752,005 : x
  2. Step 2: Convert to fraction form
    14,278,324/21,752,005 = 21,752,005/x
  3. Step 3: Cross multiply
    14,278,324x = 21,752,005 × 21,752,005
  4. Step 4: Simplify right side
    14,278,324x = 473,149,721,520,025
  5. Step 5: Solve for x
    x = 473,149,721,520,025/14,278,324
  6. Step 6: Final answer
    x = 33,137,623.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.