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Finding the Third Proportional to 778,082,841 and 1,707,546,177

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Solution

The third proportional to 778,082,841 and 1,707,546,177 is: 3,747,305,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,082,841 : 1,707,546,177 = 1,707,546,177 : x
  2. Step 2: Convert to fraction form
    778,082,841/1,707,546,177 = 1,707,546,177/x
  3. Step 3: Cross multiply
    778,082,841x = 1,707,546,177 × 1,707,546,177
  4. Step 4: Simplify right side
    778,082,841x = 2,915,713,946,587,315,200
  5. Step 5: Solve for x
    x = 2,915,713,946,587,315,200/778,082,841
  6. Step 6: Final answer
    x = 3,747,305,290.58

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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.