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Finding the Third Proportional to 4,082,708 and 9,536,014

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Solution

The third proportional to 4,082,708 and 9,536,014 is: 22,273,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082,708 : 9,536,014 = 9,536,014 : x
  2. Step 2: Convert to fraction form
    4,082,708/9,536,014 = 9,536,014/x
  3. Step 3: Cross multiply
    4,082,708x = 9,536,014 × 9,536,014
  4. Step 4: Simplify right side
    4,082,708x = 90,935,563,008,196
  5. Step 5: Solve for x
    x = 90,935,563,008,196/4,082,708
  6. Step 6: Final answer
    x = 22,273,344.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.