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Finding the Third Proportional to 11,609,576 and 27,110,312

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Solution

The third proportional to 11,609,576 and 27,110,312 is: 63,307,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609,576 : 27,110,312 = 27,110,312 : x
  2. Step 2: Convert to fraction form
    11,609,576/27,110,312 = 27,110,312/x
  3. Step 3: Cross multiply
    11,609,576x = 27,110,312 × 27,110,312
  4. Step 4: Simplify right side
    11,609,576x = 734,969,016,737,344
  5. Step 5: Solve for x
    x = 734,969,016,737,344/11,609,576
  6. Step 6: Final answer
    x = 63,307,136.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.