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Finding the Third Proportional to 14,624,268 and 31,689,232

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Solution

The third proportional to 14,624,268 and 31,689,232 is: 68,667,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624,268 : 31,689,232 = 31,689,232 : x
  2. Step 2: Convert to fraction form
    14,624,268/31,689,232 = 31,689,232/x
  3. Step 3: Cross multiply
    14,624,268x = 31,689,232 × 31,689,232
  4. Step 4: Simplify right side
    14,624,268x = 1,004,207,424,749,824
  5. Step 5: Solve for x
    x = 1,004,207,424,749,824/14,624,268
  6. Step 6: Final answer
    x = 68,667,192.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.