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Finding the Third Proportional to 2,356,172 and 5,027,104

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Solution

The third proportional to 2,356,172 and 5,027,104 is: 10,725,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,172 : 5,027,104 = 5,027,104 : x
  2. Step 2: Convert to fraction form
    2,356,172/5,027,104 = 5,027,104/x
  3. Step 3: Cross multiply
    2,356,172x = 5,027,104 × 5,027,104
  4. Step 4: Simplify right side
    2,356,172x = 25,271,774,626,816
  5. Step 5: Solve for x
    x = 25,271,774,626,816/2,356,172
  6. Step 6: Final answer
    x = 10,725,776.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.