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Finding the Third Proportional to 7,561,024 and 16,591,824

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Solution

The third proportional to 7,561,024 and 16,591,824 is: 36,408,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561,024 : 16,591,824 = 16,591,824 : x
  2. Step 2: Convert to fraction form
    7,561,024/16,591,824 = 16,591,824/x
  3. Step 3: Cross multiply
    7,561,024x = 16,591,824 × 16,591,824
  4. Step 4: Simplify right side
    7,561,024x = 275,288,623,646,976
  5. Step 5: Solve for x
    x = 275,288,623,646,976/7,561,024
  6. Step 6: Final answer
    x = 36,408,907.53

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