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Finding the Third Proportional to 10,399,306.74 and 16,228,514.97

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Solution

The third proportional to 10,399,306.74 and 16,228,514.97 is: 25,325,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,306.74 : 16,228,514.97 = 16,228,514.97 : x
  2. Step 2: Convert to fraction form
    10,399,306.74/16,228,514.97 = 16,228,514.97/x
  3. Step 3: Cross multiply
    10,399,306.74x = 16,228,514.97 × 16,228,514.97
  4. Step 4: Simplify right side
    10,399,306.74x = 263,364,698,011,682.72
  5. Step 5: Solve for x
    x = 263,364,698,011,682.72/10,399,306.74
  6. Step 6: Final answer
    x = 25,325,216.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.