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Finding the Third Proportional to 14,008,041 and 21,633,493.50

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Solution

The third proportional to 14,008,041 and 21,633,493.50 is: 33,409,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008,041 : 21,633,493.50 = 21,633,493.50 : x
  2. Step 2: Convert to fraction form
    14,008,041/21,633,493.50 = 21,633,493.50/x
  3. Step 3: Cross multiply
    14,008,041x = 21,633,493.50 × 21,633,493.50
  4. Step 4: Simplify right side
    14,008,041x = 468,008,041,014,542.25
  5. Step 5: Solve for x
    x = 468,008,041,014,542.25/14,008,041
  6. Step 6: Final answer
    x = 33,409,956.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.