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Finding the Third Proportional to 11,677,200 and 18,595,080

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Solution

The third proportional to 11,677,200 and 18,595,080 is: 29,611,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677,200 : 18,595,080 = 18,595,080 : x
  2. Step 2: Convert to fraction form
    11,677,200/18,595,080 = 18,595,080/x
  3. Step 3: Cross multiply
    11,677,200x = 18,595,080 × 18,595,080
  4. Step 4: Simplify right side
    11,677,200x = 345,777,000,206,400
  5. Step 5: Solve for x
    x = 345,777,000,206,400/11,677,200
  6. Step 6: Final answer
    x = 29,611,293.82

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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.