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Finding the Third Proportional to 735,934,384 and 1,493,493,824

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Solution

The third proportional to 735,934,384 and 1,493,493,824 is: 3,030,873,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,934,384 : 1,493,493,824 = 1,493,493,824 : x
  2. Step 2: Convert to fraction form
    735,934,384/1,493,493,824 = 1,493,493,824/x
  3. Step 3: Cross multiply
    735,934,384x = 1,493,493,824 × 1,493,493,824
  4. Step 4: Simplify right side
    735,934,384x = 2,230,523,802,326,142,976
  5. Step 5: Solve for x
    x = 2,230,523,802,326,142,976/735,934,384
  6. Step 6: Final answer
    x = 3,030,873,201.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.