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Finding the Third Proportional to 11,533,932 and 16,221,703.50

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Solution

The third proportional to 11,533,932 and 16,221,703.50 is: 22,814,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533,932 : 16,221,703.50 = 16,221,703.50 : x
  2. Step 2: Convert to fraction form
    11,533,932/16,221,703.50 = 16,221,703.50/x
  3. Step 3: Cross multiply
    11,533,932x = 16,221,703.50 × 16,221,703.50
  4. Step 4: Simplify right side
    11,533,932x = 263,143,664,441,912.25
  5. Step 5: Solve for x
    x = 263,143,664,441,912.25/11,533,932
  6. Step 6: Final answer
    x = 22,814,740.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.