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Finding the Third Proportional to 14,493,297.09 and 31,590,764.44

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Solution

The third proportional to 14,493,297.09 and 31,590,764.44 is: 68,857,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493,297.09 : 31,590,764.44 = 31,590,764.44 : x
  2. Step 2: Convert to fraction form
    14,493,297.09/31,590,764.44 = 31,590,764.44/x
  3. Step 3: Cross multiply
    14,493,297.09x = 31,590,764.44 × 31,590,764.44
  4. Step 4: Simplify right side
    14,493,297.09x = 997,976,397,745,614.75
  5. Step 5: Solve for x
    x = 997,976,397,745,614.75/14,493,297.09
  6. Step 6: Final answer
    x = 68,857,789.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.