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Finding the Third Proportional to 9,583,265 and 20,783,451

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Solution

The third proportional to 9,583,265 and 20,783,451 is: 45,073,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583,265 : 20,783,451 = 20,783,451 : x
  2. Step 2: Convert to fraction form
    9,583,265/20,783,451 = 20,783,451/x
  3. Step 3: Cross multiply
    9,583,265x = 20,783,451 × 20,783,451
  4. Step 4: Simplify right side
    9,583,265x = 431,951,835,469,401
  5. Step 5: Solve for x
    x = 431,951,835,469,401/9,583,265
  6. Step 6: Final answer
    x = 45,073,556.40

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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.