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Finding the Third Proportional to 8,685,169 and 11,578,910

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Solution

The third proportional to 8,685,169 and 11,578,910 is: 15,436,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685,169 : 11,578,910 = 11,578,910 : x
  2. Step 2: Convert to fraction form
    8,685,169/11,578,910 = 11,578,910/x
  3. Step 3: Cross multiply
    8,685,169x = 11,578,910 × 11,578,910
  4. Step 4: Simplify right side
    8,685,169x = 134,071,156,788,100
  5. Step 5: Solve for x
    x = 134,071,156,788,100/8,685,169
  6. Step 6: Final answer
    x = 15,436,793.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.