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Finding the Third Proportional to 2,556,192.94 and 5,601,256.31

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Solution

The third proportional to 2,556,192.94 and 5,601,256.31 is: 12,273,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556,192.94 : 5,601,256.31 = 5,601,256.31 : x
  2. Step 2: Convert to fraction form
    2,556,192.94/5,601,256.31 = 5,601,256.31/x
  3. Step 3: Cross multiply
    2,556,192.94x = 5,601,256.31 × 5,601,256.31
  4. Step 4: Simplify right side
    2,556,192.94x = 31,374,072,278,321.10
  5. Step 5: Solve for x
    x = 31,374,072,278,321.10/2,556,192.94
  6. Step 6: Final answer
    x = 12,273,749.69

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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.