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Finding the Third Proportional to 11,596,961 and 17,040,447

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Solution

The third proportional to 11,596,961 and 17,040,447 is: 25,039,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596,961 : 17,040,447 = 17,040,447 : x
  2. Step 2: Convert to fraction form
    11,596,961/17,040,447 = 17,040,447/x
  3. Step 3: Cross multiply
    11,596,961x = 17,040,447 × 17,040,447
  4. Step 4: Simplify right side
    11,596,961x = 290,376,833,959,809
  5. Step 5: Solve for x
    x = 290,376,833,959,809/11,596,961
  6. Step 6: Final answer
    x = 25,039,045.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.