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Finding the Third Proportional to 11,809,097 and 17,652,166

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Solution

The third proportional to 11,809,097 and 17,652,166 is: 26,386,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809,097 : 17,652,166 = 17,652,166 : x
  2. Step 2: Convert to fraction form
    11,809,097/17,652,166 = 17,652,166/x
  3. Step 3: Cross multiply
    11,809,097x = 17,652,166 × 17,652,166
  4. Step 4: Simplify right side
    11,809,097x = 311,598,964,491,556
  5. Step 5: Solve for x
    x = 311,598,964,491,556/11,809,097
  6. Step 6: Final answer
    x = 26,386,349.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.