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Finding the Third Proportional to 17,825,077 and 37,565,215

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Solution

The third proportional to 17,825,077 and 37,565,215 is: 79,166,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825,077 : 37,565,215 = 37,565,215 : x
  2. Step 2: Convert to fraction form
    17,825,077/37,565,215 = 37,565,215/x
  3. Step 3: Cross multiply
    17,825,077x = 37,565,215 × 37,565,215
  4. Step 4: Simplify right side
    17,825,077x = 1,411,145,377,996,225
  5. Step 5: Solve for x
    x = 1,411,145,377,996,225/17,825,077
  6. Step 6: Final answer
    x = 79,166,299.14

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.