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Finding the Third Proportional to 12,769,245 and 28,021,824

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Solution

The third proportional to 12,769,245 and 28,021,824 is: 61,493,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769,245 : 28,021,824 = 28,021,824 : x
  2. Step 2: Convert to fraction form
    12,769,245/28,021,824 = 28,021,824/x
  3. Step 3: Cross multiply
    12,769,245x = 28,021,824 × 28,021,824
  4. Step 4: Simplify right side
    12,769,245x = 785,222,620,286,976
  5. Step 5: Solve for x
    x = 785,222,620,286,976/12,769,245
  6. Step 6: Final answer
    x = 61,493,269.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.