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Finding the Third Proportional to 613,184,016 and 1,345,081,779

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Solution

The third proportional to 613,184,016 and 1,345,081,779 is: 2,950,574,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,184,016 : 1,345,081,779 = 1,345,081,779 : x
  2. Step 2: Convert to fraction form
    613,184,016/1,345,081,779 = 1,345,081,779/x
  3. Step 3: Cross multiply
    613,184,016x = 1,345,081,779 × 1,345,081,779
  4. Step 4: Simplify right side
    613,184,016x = 1,809,244,992,197,804,800
  5. Step 5: Solve for x
    x = 1,809,244,992,197,804,800/613,184,016
  6. Step 6: Final answer
    x = 2,950,574,289.26

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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.