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Finding the Third Proportional to 9,600,560 and 13,504,392

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Solution

The third proportional to 9,600,560 and 13,504,392 is: 18,995,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600,560 : 13,504,392 = 13,504,392 : x
  2. Step 2: Convert to fraction form
    9,600,560/13,504,392 = 13,504,392/x
  3. Step 3: Cross multiply
    9,600,560x = 13,504,392 × 13,504,392
  4. Step 4: Simplify right side
    9,600,560x = 182,368,603,289,664
  5. Step 5: Solve for x
    x = 182,368,603,289,664/9,600,560
  6. Step 6: Final answer
    x = 18,995,621.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.