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Finding the Third Proportional to 11,677,194 and 18,595,075

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Solution

The third proportional to 11,677,194 and 18,595,075 is: 29,611,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677,194 : 18,595,075 = 18,595,075 : x
  2. Step 2: Convert to fraction form
    11,677,194/18,595,075 = 18,595,075/x
  3. Step 3: Cross multiply
    11,677,194x = 18,595,075 × 18,595,075
  4. Step 4: Simplify right side
    11,677,194x = 345,776,814,255,625
  5. Step 5: Solve for x
    x = 345,776,814,255,625/11,677,194
  6. Step 6: Final answer
    x = 29,611,293.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.