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Finding the Third Proportional to 17,653,296 and 38,093,368.50

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Solution

The third proportional to 17,653,296 and 38,093,368.50 is: 82,200,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653,296 : 38,093,368.50 = 38,093,368.50 : x
  2. Step 2: Convert to fraction form
    17,653,296/38,093,368.50 = 38,093,368.50/x
  3. Step 3: Cross multiply
    17,653,296x = 38,093,368.50 × 38,093,368.50
  4. Step 4: Simplify right side
    17,653,296x = 1,451,104,723,676,792.25
  5. Step 5: Solve for x
    x = 1,451,104,723,676,792.25/17,653,296
  6. Step 6: Final answer
    x = 82,200,214.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.