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Finding the Third Proportional to 17,384,146 and 37,790,996

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Solution

The third proportional to 17,384,146 and 37,790,996 is: 82,152,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384,146 : 37,790,996 = 37,790,996 : x
  2. Step 2: Convert to fraction form
    17,384,146/37,790,996 = 37,790,996/x
  3. Step 3: Cross multiply
    17,384,146x = 37,790,996 × 37,790,996
  4. Step 4: Simplify right side
    17,384,146x = 1,428,159,378,672,016
  5. Step 5: Solve for x
    x = 1,428,159,378,672,016/17,384,146
  6. Step 6: Final answer
    x = 82,152,978.85

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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.