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Finding the Third Proportional to 12,299,536.13 and 19,093,922.44

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Solution

The third proportional to 12,299,536.13 and 19,093,922.44 is: 29,641,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299,536.13 : 19,093,922.44 = 19,093,922.44 : x
  2. Step 2: Convert to fraction form
    12,299,536.13/19,093,922.44 = 19,093,922.44/x
  3. Step 3: Cross multiply
    12,299,536.13x = 19,093,922.44 × 19,093,922.44
  4. Step 4: Simplify right side
    12,299,536.13x = 364,577,874,049,265.94
  5. Step 5: Solve for x
    x = 364,577,874,049,265.94/12,299,536.13
  6. Step 6: Final answer
    x = 29,641,595.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.