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Finding the Third Proportional to 3,509,115.50 and 5,142,009

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Solution

The third proportional to 3,509,115.50 and 5,142,009 is: 7,534,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509,115.50 : 5,142,009 = 5,142,009 : x
  2. Step 2: Convert to fraction form
    3,509,115.50/5,142,009 = 5,142,009/x
  3. Step 3: Cross multiply
    3,509,115.50x = 5,142,009 × 5,142,009
  4. Step 4: Simplify right side
    3,509,115.50x = 26,440,256,556,081
  5. Step 5: Solve for x
    x = 26,440,256,556,081/3,509,115.50
  6. Step 6: Final answer
    x = 7,534,735.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.