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Finding the Third Proportional to 7,198,256 and 11,037,904

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Solution

The third proportional to 7,198,256 and 11,037,904 is: 16,925,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,256 : 11,037,904 = 11,037,904 : x
  2. Step 2: Convert to fraction form
    7,198,256/11,037,904 = 11,037,904/x
  3. Step 3: Cross multiply
    7,198,256x = 11,037,904 × 11,037,904
  4. Step 4: Simplify right side
    7,198,256x = 121,835,324,713,216
  5. Step 5: Solve for x
    x = 121,835,324,713,216/7,198,256
  6. Step 6: Final answer
    x = 16,925,672.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.