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Finding the Third Proportional to 9,583,286 and 20,783,494

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Solution

The third proportional to 9,583,286 and 20,783,494 is: 45,073,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583,286 : 20,783,494 = 20,783,494 : x
  2. Step 2: Convert to fraction form
    9,583,286/20,783,494 = 20,783,494/x
  3. Step 3: Cross multiply
    9,583,286x = 20,783,494 × 20,783,494
  4. Step 4: Simplify right side
    9,583,286x = 431,953,622,848,036
  5. Step 5: Solve for x
    x = 431,953,622,848,036/9,583,286
  6. Step 6: Final answer
    x = 45,073,644.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.