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Finding the Third Proportional to 11,384,991 and 17,609,503

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Solution

The third proportional to 11,384,991 and 17,609,503 is: 27,237,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384,991 : 17,609,503 = 17,609,503 : x
  2. Step 2: Convert to fraction form
    11,384,991/17,609,503 = 17,609,503/x
  3. Step 3: Cross multiply
    11,384,991x = 17,609,503 × 17,609,503
  4. Step 4: Simplify right side
    11,384,991x = 310,094,595,907,009
  5. Step 5: Solve for x
    x = 310,094,595,907,009/11,384,991
  6. Step 6: Final answer
    x = 27,237,140.19

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