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Finding the Third Proportional to 6,794,692 and 14,788,232

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Solution

The third proportional to 6,794,692 and 14,788,232 is: 32,185,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794,692 : 14,788,232 = 14,788,232 : x
  2. Step 2: Convert to fraction form
    6,794,692/14,788,232 = 14,788,232/x
  3. Step 3: Cross multiply
    6,794,692x = 14,788,232 × 14,788,232
  4. Step 4: Simplify right side
    6,794,692x = 218,691,805,685,824
  5. Step 5: Solve for x
    x = 218,691,805,685,824/6,794,692
  6. Step 6: Final answer
    x = 32,185,683.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.