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Finding the Third Proportional to 665,424,450 and 1,483,851,204

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Solution

The third proportional to 665,424,450 and 1,483,851,204 is: 3,308,887,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,424,450 : 1,483,851,204 = 1,483,851,204 : x
  2. Step 2: Convert to fraction form
    665,424,450/1,483,851,204 = 1,483,851,204/x
  3. Step 3: Cross multiply
    665,424,450x = 1,483,851,204 × 1,483,851,204
  4. Step 4: Simplify right side
    665,424,450x = 2,201,814,395,612,249,600
  5. Step 5: Solve for x
    x = 2,201,814,395,612,249,600/665,424,450
  6. Step 6: Final answer
    x = 3,308,887,125.52

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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.