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Finding the Third Proportional to 8,124,252 and 17,647,032

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Solution

The third proportional to 8,124,252 and 17,647,032 is: 38,331,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124,252 : 17,647,032 = 17,647,032 : x
  2. Step 2: Convert to fraction form
    8,124,252/17,647,032 = 17,647,032/x
  3. Step 3: Cross multiply
    8,124,252x = 17,647,032 × 17,647,032
  4. Step 4: Simplify right side
    8,124,252x = 311,417,738,409,024
  5. Step 5: Solve for x
    x = 311,417,738,409,024/8,124,252
  6. Step 6: Final answer
    x = 38,331,865.93

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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.