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Finding the Third Proportional to 665,424,456 and 1,483,851,216

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Solution

The third proportional to 665,424,456 and 1,483,851,216 is: 3,308,887,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,424,456 : 1,483,851,216 = 1,483,851,216 : x
  2. Step 2: Convert to fraction form
    665,424,456/1,483,851,216 = 1,483,851,216/x
  3. Step 3: Cross multiply
    665,424,456x = 1,483,851,216 × 1,483,851,216
  4. Step 4: Simplify right side
    665,424,456x = 2,201,814,431,224,678,656
  5. Step 5: Solve for x
    x = 2,201,814,431,224,678,656/665,424,456
  6. Step 6: Final answer
    x = 3,308,887,149.20

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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.