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Finding the Third Proportional to 7,394,672 and 16,002,400

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Solution

The third proportional to 7,394,672 and 16,002,400 is: 34,629,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394,672 : 16,002,400 = 16,002,400 : x
  2. Step 2: Convert to fraction form
    7,394,672/16,002,400 = 16,002,400/x
  3. Step 3: Cross multiply
    7,394,672x = 16,002,400 × 16,002,400
  4. Step 4: Simplify right side
    7,394,672x = 256,076,805,760,000
  5. Step 5: Solve for x
    x = 256,076,805,760,000/7,394,672
  6. Step 6: Final answer
    x = 34,629,907.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.