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Finding the Third Proportional to 8,777,038 and 11,646,189

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Solution

The third proportional to 8,777,038 and 11,646,189 is: 15,453,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777,038 : 11,646,189 = 11,646,189 : x
  2. Step 2: Convert to fraction form
    8,777,038/11,646,189 = 11,646,189/x
  3. Step 3: Cross multiply
    8,777,038x = 11,646,189 × 11,646,189
  4. Step 4: Simplify right side
    8,777,038x = 135,633,718,223,721
  5. Step 5: Solve for x
    x = 135,633,718,223,721/8,777,038
  6. Step 6: Final answer
    x = 15,453,244.96

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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.