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Finding the Third Proportional to 11,955,783 and 19,033,296

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Solution

The third proportional to 11,955,783 and 19,033,296 is: 30,300,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955,783 : 19,033,296 = 19,033,296 : x
  2. Step 2: Convert to fraction form
    11,955,783/19,033,296 = 19,033,296/x
  3. Step 3: Cross multiply
    11,955,783x = 19,033,296 × 19,033,296
  4. Step 4: Simplify right side
    11,955,783x = 362,266,356,623,616
  5. Step 5: Solve for x
    x = 362,266,356,623,616/11,955,783
  6. Step 6: Final answer
    x = 30,300,512.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.