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Finding the Third Proportional to 11,677,050 and 18,594,861

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Solution

The third proportional to 11,677,050 and 18,594,861 is: 29,610,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677,050 : 18,594,861 = 18,594,861 : x
  2. Step 2: Convert to fraction form
    11,677,050/18,594,861 = 18,594,861/x
  3. Step 3: Cross multiply
    11,677,050x = 18,594,861 × 18,594,861
  4. Step 4: Simplify right side
    11,677,050x = 345,768,855,609,321
  5. Step 5: Solve for x
    x = 345,768,855,609,321/11,677,050
  6. Step 6: Final answer
    x = 29,610,976.71

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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.