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Finding the Third Proportional to 901,492,544 and 1,958,171,911

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Solution

The third proportional to 901,492,544 and 1,958,171,911 is: 4,253,431,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,492,544 : 1,958,171,911 = 1,958,171,911 : x
  2. Step 2: Convert to fraction form
    901,492,544/1,958,171,911 = 1,958,171,911/x
  3. Step 3: Cross multiply
    901,492,544x = 1,958,171,911 × 1,958,171,911
  4. Step 4: Simplify right side
    901,492,544x = 3,834,437,233,029,391,872
  5. Step 5: Solve for x
    x = 3,834,437,233,029,391,872/901,492,544
  6. Step 6: Final answer
    x = 4,253,431,998.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.