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Finding the Third Proportional to 9,638,144 and 20,075,344

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Solution

The third proportional to 9,638,144 and 20,075,344 is: 41,815,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638,144 : 20,075,344 = 20,075,344 : x
  2. Step 2: Convert to fraction form
    9,638,144/20,075,344 = 20,075,344/x
  3. Step 3: Cross multiply
    9,638,144x = 20,075,344 × 20,075,344
  4. Step 4: Simplify right side
    9,638,144x = 403,019,436,718,336
  5. Step 5: Solve for x
    x = 403,019,436,718,336/9,638,144
  6. Step 6: Final answer
    x = 41,815,046.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.