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Finding the Third Proportional to 2,632,920,210 and 5,483,765,676

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Solution

The third proportional to 2,632,920,210 and 5,483,765,676 is: 11,421,419,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632,920,210 : 5,483,765,676 = 5,483,765,676 : x
  2. Step 2: Convert to fraction form
    2,632,920,210/5,483,765,676 = 5,483,765,676/x
  3. Step 3: Cross multiply
    2,632,920,210x = 5,483,765,676 × 5,483,765,676
  4. Step 4: Simplify right side
    2,632,920,210x = 30,071,685,989,275,738,112
  5. Step 5: Solve for x
    x = 30,071,685,989,275,738,112/2,632,920,210
  6. Step 6: Final answer
    x = 11,421,419,409.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.