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Finding the Third Proportional to 14,905,401 and 22,432,824

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Solution

The third proportional to 14,905,401 and 22,432,824 is: 33,761,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905,401 : 22,432,824 = 22,432,824 : x
  2. Step 2: Convert to fraction form
    14,905,401/22,432,824 = 22,432,824/x
  3. Step 3: Cross multiply
    14,905,401x = 22,432,824 × 22,432,824
  4. Step 4: Simplify right side
    14,905,401x = 503,231,592,614,976
  5. Step 5: Solve for x
    x = 503,231,592,614,976/14,905,401
  6. Step 6: Final answer
    x = 33,761,694.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.