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Finding the Third Proportional to 9,576,194 and 13,437,296

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Solution

The third proportional to 9,576,194 and 13,437,296 is: 18,855,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576,194 : 13,437,296 = 13,437,296 : x
  2. Step 2: Convert to fraction form
    9,576,194/13,437,296 = 13,437,296/x
  3. Step 3: Cross multiply
    9,576,194x = 13,437,296 × 13,437,296
  4. Step 4: Simplify right side
    9,576,194x = 180,560,923,791,616
  5. Step 5: Solve for x
    x = 180,560,923,791,616/9,576,194
  6. Step 6: Final answer
    x = 18,855,186.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.