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Finding the Third Proportional to 682,958,052,619 and 1,518,615,778,189

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Solution

The third proportional to 682,958,052,619 and 1,518,615,778,189 is: 3,376,772,369,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,958,052,619 : 1,518,615,778,189 = 1,518,615,778,189 : x
  2. Step 2: Convert to fraction form
    682,958,052,619/1,518,615,778,189 = 1,518,615,778,189/x
  3. Step 3: Cross multiply
    682,958,052,619x = 1,518,615,778,189 × 1,518,615,778,189
  4. Step 4: Simplify right side
    682,958,052,619x = 2,306,193,881,764,582,045,777,920
  5. Step 5: Solve for x
    x = 2,306,193,881,764,582,045,777,920/682,958,052,619
  6. Step 6: Final answer
    x = 3,376,772,369,724.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.