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Finding the Third Proportional to 7,339,296 and 11,336,188

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Solution

The third proportional to 7,339,296 and 11,336,188 is: 17,509,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339,296 : 11,336,188 = 11,336,188 : x
  2. Step 2: Convert to fraction form
    7,339,296/11,336,188 = 11,336,188/x
  3. Step 3: Cross multiply
    7,339,296x = 11,336,188 × 11,336,188
  4. Step 4: Simplify right side
    7,339,296x = 128,509,158,371,344
  5. Step 5: Solve for x
    x = 128,509,158,371,344/7,339,296
  6. Step 6: Final answer
    x = 17,509,739.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.