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Finding the Third Proportional to 8,266,400 and 17,516,174

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Solution

The third proportional to 8,266,400 and 17,516,174 is: 37,116,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266,400 : 17,516,174 = 17,516,174 : x
  2. Step 2: Convert to fraction form
    8,266,400/17,516,174 = 17,516,174/x
  3. Step 3: Cross multiply
    8,266,400x = 17,516,174 × 17,516,174
  4. Step 4: Simplify right side
    8,266,400x = 306,816,351,598,276
  5. Step 5: Solve for x
    x = 306,816,351,598,276/8,266,400
  6. Step 6: Final answer
    x = 37,116,078.53

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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.