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Finding the Third Proportional to 11,444,932 and 16,040,033

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Solution

The third proportional to 11,444,932 and 16,040,033 is: 22,480,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444,932 : 16,040,033 = 16,040,033 : x
  2. Step 2: Convert to fraction form
    11,444,932/16,040,033 = 16,040,033/x
  3. Step 3: Cross multiply
    11,444,932x = 16,040,033 × 16,040,033
  4. Step 4: Simplify right side
    11,444,932x = 257,282,658,641,089
  5. Step 5: Solve for x
    x = 257,282,658,641,089/11,444,932
  6. Step 6: Final answer
    x = 22,480,051.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.