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Finding the Third Proportional to 11,023,969.50 and 16,221,024

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Solution

The third proportional to 11,023,969.50 and 16,221,024 is: 23,868,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023,969.50 : 16,221,024 = 16,221,024 : x
  2. Step 2: Convert to fraction form
    11,023,969.50/16,221,024 = 16,221,024/x
  3. Step 3: Cross multiply
    11,023,969.50x = 16,221,024 × 16,221,024
  4. Step 4: Simplify right side
    11,023,969.50x = 263,121,619,608,576
  5. Step 5: Solve for x
    x = 263,121,619,608,576/11,023,969.50
  6. Step 6: Final answer
    x = 23,868,137.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.