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Finding the Third Proportional to 280,375,992 and 613,606,968

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Solution

The third proportional to 280,375,992 and 613,606,968 is: 1,342,887,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,375,992 : 613,606,968 = 613,606,968 : x
  2. Step 2: Convert to fraction form
    280,375,992/613,606,968 = 613,606,968/x
  3. Step 3: Cross multiply
    280,375,992x = 613,606,968 × 613,606,968
  4. Step 4: Simplify right side
    280,375,992x = 376,513,511,178,153,024
  5. Step 5: Solve for x
    x = 376,513,511,178,153,024/280,375,992
  6. Step 6: Final answer
    x = 1,342,887,843.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.