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Finding the Third Proportional to 10,082,866 and 15,498,075

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Solution

The third proportional to 10,082,866 and 15,498,075 is: 23,821,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,866 : 15,498,075 = 15,498,075 : x
  2. Step 2: Convert to fraction form
    10,082,866/15,498,075 = 15,498,075/x
  3. Step 3: Cross multiply
    10,082,866x = 15,498,075 × 15,498,075
  4. Step 4: Simplify right side
    10,082,866x = 240,190,328,705,625
  5. Step 5: Solve for x
    x = 240,190,328,705,625/10,082,866
  6. Step 6: Final answer
    x = 23,821,632.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.