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Finding the Third Proportional to 778,082,843 and 1,707,546,181

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Solution

The third proportional to 778,082,843 and 1,707,546,181 is: 3,747,305,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,082,843 : 1,707,546,181 = 1,707,546,181 : x
  2. Step 2: Convert to fraction form
    778,082,843/1,707,546,181 = 1,707,546,181/x
  3. Step 3: Cross multiply
    778,082,843x = 1,707,546,181 × 1,707,546,181
  4. Step 4: Simplify right side
    778,082,843x = 2,915,713,960,247,684,608
  5. Step 5: Solve for x
    x = 2,915,713,960,247,684,608/778,082,843
  6. Step 6: Final answer
    x = 3,747,305,298.50

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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.