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Finding the Third Proportional to 9,630,576 and 20,007,648

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Solution

The third proportional to 9,630,576 and 20,007,648 is: 41,566,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630,576 : 20,007,648 = 20,007,648 : x
  2. Step 2: Convert to fraction form
    9,630,576/20,007,648 = 20,007,648/x
  3. Step 3: Cross multiply
    9,630,576x = 20,007,648 × 20,007,648
  4. Step 4: Simplify right side
    9,630,576x = 400,305,978,491,904
  5. Step 5: Solve for x
    x = 400,305,978,491,904/9,630,576
  6. Step 6: Final answer
    x = 41,566,151.23

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.