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Finding the Third Proportional to 11,677,514 and 18,595,515

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Solution

The third proportional to 11,677,514 and 18,595,515 is: 29,611,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677,514 : 18,595,515 = 18,595,515 : x
  2. Step 2: Convert to fraction form
    11,677,514/18,595,515 = 18,595,515/x
  3. Step 3: Cross multiply
    11,677,514x = 18,595,515 × 18,595,515
  4. Step 4: Simplify right side
    11,677,514x = 345,793,178,115,225
  5. Step 5: Solve for x
    x = 345,793,178,115,225/11,677,514
  6. Step 6: Final answer
    x = 29,611,882.98

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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.