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Finding the Third Proportional to 10,388,144 and 15,524,075

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Solution

The third proportional to 10,388,144 and 15,524,075 is: 23,199,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388,144 : 15,524,075 = 15,524,075 : x
  2. Step 2: Convert to fraction form
    10,388,144/15,524,075 = 15,524,075/x
  3. Step 3: Cross multiply
    10,388,144x = 15,524,075 × 15,524,075
  4. Step 4: Simplify right side
    10,388,144x = 240,996,904,605,625
  5. Step 5: Solve for x
    x = 240,996,904,605,625/10,388,144
  6. Step 6: Final answer
    x = 23,199,226.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.