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Finding the Third Proportional to 17,386,731 and 37,760,166

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Solution

The third proportional to 17,386,731 and 37,760,166 is: 82,006,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,386,731 : 37,760,166 = 37,760,166 : x
  2. Step 2: Convert to fraction form
    17,386,731/37,760,166 = 37,760,166/x
  3. Step 3: Cross multiply
    17,386,731x = 37,760,166 × 37,760,166
  4. Step 4: Simplify right side
    17,386,731x = 1,425,830,136,347,556
  5. Step 5: Solve for x
    x = 1,425,830,136,347,556/17,386,731
  6. Step 6: Final answer
    x = 82,006,797.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.