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Finding the Third Proportional to 7,589,849 and 16,595,188

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Solution

The third proportional to 7,589,849 and 16,595,188 is: 36,285,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,849 : 16,595,188 = 16,595,188 : x
  2. Step 2: Convert to fraction form
    7,589,849/16,595,188 = 16,595,188/x
  3. Step 3: Cross multiply
    7,589,849x = 16,595,188 × 16,595,188
  4. Step 4: Simplify right side
    7,589,849x = 275,400,264,755,344
  5. Step 5: Solve for x
    x = 275,400,264,755,344/7,589,849
  6. Step 6: Final answer
    x = 36,285,341.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.