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Finding the Third Proportional to 14,588,520 and 33,769,824

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Solution

The third proportional to 14,588,520 and 33,769,824 is: 78,171,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588,520 : 33,769,824 = 33,769,824 : x
  2. Step 2: Convert to fraction form
    14,588,520/33,769,824 = 33,769,824/x
  3. Step 3: Cross multiply
    14,588,520x = 33,769,824 × 33,769,824
  4. Step 4: Simplify right side
    14,588,520x = 1,140,401,012,990,976
  5. Step 5: Solve for x
    x = 1,140,401,012,990,976/14,588,520
  6. Step 6: Final answer
    x = 78,171,124.49

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.