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Finding the Third Proportional to 613,403,097 and 1,320,339,807

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Solution

The third proportional to 613,403,097 and 1,320,339,807 is: 2,842,009,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,403,097 : 1,320,339,807 = 1,320,339,807 : x
  2. Step 2: Convert to fraction form
    613,403,097/1,320,339,807 = 1,320,339,807/x
  3. Step 3: Cross multiply
    613,403,097x = 1,320,339,807 × 1,320,339,807
  4. Step 4: Simplify right side
    613,403,097x = 1,743,297,205,948,797,184
  5. Step 5: Solve for x
    x = 1,743,297,205,948,797,184/613,403,097
  6. Step 6: Final answer
    x = 2,842,009,136.37

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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.