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Finding the Third Proportional to 613,403,094 and 1,320,339,801

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Solution

The third proportional to 613,403,094 and 1,320,339,801 is: 2,842,009,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,403,094 : 1,320,339,801 = 1,320,339,801 : x
  2. Step 2: Convert to fraction form
    613,403,094/1,320,339,801 = 1,320,339,801/x
  3. Step 3: Cross multiply
    613,403,094x = 1,320,339,801 × 1,320,339,801
  4. Step 4: Simplify right side
    613,403,094x = 1,743,297,190,104,719,616
  5. Step 5: Solve for x
    x = 1,743,297,190,104,719,616/613,403,094
  6. Step 6: Final answer
    x = 2,842,009,124.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.