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Finding the Third Proportional to 12,188,262.75 and 17,833,734.75

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Solution

The third proportional to 12,188,262.75 and 17,833,734.75 is: 26,094,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188,262.75 : 17,833,734.75 = 17,833,734.75 : x
  2. Step 2: Convert to fraction form
    12,188,262.75/17,833,734.75 = 17,833,734.75/x
  3. Step 3: Cross multiply
    12,188,262.75x = 17,833,734.75 × 17,833,734.75
  4. Step 4: Simplify right side
    12,188,262.75x = 318,042,095,133,357.56
  5. Step 5: Solve for x
    x = 318,042,095,133,357.56/12,188,262.75
  6. Step 6: Final answer
    x = 26,094,128.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.