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Finding the Third Proportional to 665,424,452 and 1,483,851,208

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Solution

The third proportional to 665,424,452 and 1,483,851,208 is: 3,308,887,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,424,452 : 1,483,851,208 = 1,483,851,208 : x
  2. Step 2: Convert to fraction form
    665,424,452/1,483,851,208 = 1,483,851,208/x
  3. Step 3: Cross multiply
    665,424,452x = 1,483,851,208 × 1,483,851,208
  4. Step 4: Simplify right side
    665,424,452x = 2,201,814,407,483,059,200
  5. Step 5: Solve for x
    x = 2,201,814,407,483,059,200/665,424,452
  6. Step 6: Final answer
    x = 3,308,887,133.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.