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Finding the Third Proportional to 4,349,558 and 10,234,647

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Solution

The third proportional to 4,349,558 and 10,234,647 is: 24,082,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349,558 : 10,234,647 = 10,234,647 : x
  2. Step 2: Convert to fraction form
    4,349,558/10,234,647 = 10,234,647/x
  3. Step 3: Cross multiply
    4,349,558x = 10,234,647 × 10,234,647
  4. Step 4: Simplify right side
    4,349,558x = 104,747,999,214,609
  5. Step 5: Solve for x
    x = 104,747,999,214,609/4,349,558
  6. Step 6: Final answer
    x = 24,082,446.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.