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Finding the Third Proportional to 11,493,841 and 17,798,447

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Solution

The third proportional to 11,493,841 and 17,798,447 is: 27,561,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493,841 : 17,798,447 = 17,798,447 : x
  2. Step 2: Convert to fraction form
    11,493,841/17,798,447 = 17,798,447/x
  3. Step 3: Cross multiply
    11,493,841x = 17,798,447 × 17,798,447
  4. Step 4: Simplify right side
    11,493,841x = 316,784,715,611,809
  5. Step 5: Solve for x
    x = 316,784,715,611,809/11,493,841
  6. Step 6: Final answer
    x = 27,561,257.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.