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Finding the Third Proportional to 12,467,712 and 16,895,232

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Solution

The third proportional to 12,467,712 and 16,895,232 is: 22,895,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467,712 : 16,895,232 = 16,895,232 : x
  2. Step 2: Convert to fraction form
    12,467,712/16,895,232 = 16,895,232/x
  3. Step 3: Cross multiply
    12,467,712x = 16,895,232 × 16,895,232
  4. Step 4: Simplify right side
    12,467,712x = 285,448,864,333,824
  5. Step 5: Solve for x
    x = 285,448,864,333,824/12,467,712
  6. Step 6: Final answer
    x = 22,895,047.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.