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Finding the Third Proportional to 2,365,185 and 5,188,182

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Solution

The third proportional to 2,365,185 and 5,188,182 is: 11,380,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,185 : 5,188,182 = 5,188,182 : x
  2. Step 2: Convert to fraction form
    2,365,185/5,188,182 = 5,188,182/x
  3. Step 3: Cross multiply
    2,365,185x = 5,188,182 × 5,188,182
  4. Step 4: Simplify right side
    2,365,185x = 26,917,232,465,124
  5. Step 5: Solve for x
    x = 26,917,232,465,124/2,365,185
  6. Step 6: Final answer
    x = 11,380,603.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.