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Finding the Third Proportional to 11,640,176 and 17,621,232

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Solution

The third proportional to 11,640,176 and 17,621,232 is: 26,675,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640,176 : 17,621,232 = 17,621,232 : x
  2. Step 2: Convert to fraction form
    11,640,176/17,621,232 = 17,621,232/x
  3. Step 3: Cross multiply
    11,640,176x = 17,621,232 × 17,621,232
  4. Step 4: Simplify right side
    11,640,176x = 310,507,817,197,824
  5. Step 5: Solve for x
    x = 310,507,817,197,824/11,640,176
  6. Step 6: Final answer
    x = 26,675,525.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.