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Finding the Third Proportional to 3,775,868,144 and 5,923,222,941

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Solution

The third proportional to 3,775,868,144 and 5,923,222,941 is: 9,291,788,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775,868,144 : 5,923,222,941 = 5,923,222,941 : x
  2. Step 2: Convert to fraction form
    3,775,868,144/5,923,222,941 = 5,923,222,941/x
  3. Step 3: Cross multiply
    3,775,868,144x = 5,923,222,941 × 5,923,222,941
  4. Step 4: Simplify right side
    3,775,868,144x = 35,084,570,008,788,688,896
  5. Step 5: Solve for x
    x = 35,084,570,008,788,688,896/3,775,868,144
  6. Step 6: Final answer
    x = 9,291,788,979.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.