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Finding the Third Proportional to 8,148,900 and 17,269,176

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Solution

The third proportional to 8,148,900 and 17,269,176 is: 36,596,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,900 : 17,269,176 = 17,269,176 : x
  2. Step 2: Convert to fraction form
    8,148,900/17,269,176 = 17,269,176/x
  3. Step 3: Cross multiply
    8,148,900x = 17,269,176 × 17,269,176
  4. Step 4: Simplify right side
    8,148,900x = 298,224,439,718,976
  5. Step 5: Solve for x
    x = 298,224,439,718,976/8,148,900
  6. Step 6: Final answer
    x = 36,596,895.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.