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Finding the Third Proportional to 9,643,966 and 20,630,172

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Solution

The third proportional to 9,643,966 and 20,630,172 is: 44,131,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643,966 : 20,630,172 = 20,630,172 : x
  2. Step 2: Convert to fraction form
    9,643,966/20,630,172 = 20,630,172/x
  3. Step 3: Cross multiply
    9,643,966x = 20,630,172 × 20,630,172
  4. Step 4: Simplify right side
    9,643,966x = 425,603,996,749,584
  5. Step 5: Solve for x
    x = 425,603,996,749,584/9,643,966
  6. Step 6: Final answer
    x = 44,131,635.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.