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Finding the Third Proportional to 383,670,110 and 843,867,724

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Solution

The third proportional to 383,670,110 and 843,867,724 is: 1,856,054,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,670,110 : 843,867,724 = 843,867,724 : x
  2. Step 2: Convert to fraction form
    383,670,110/843,867,724 = 843,867,724/x
  3. Step 3: Cross multiply
    383,670,110x = 843,867,724 × 843,867,724
  4. Step 4: Simplify right side
    383,670,110x = 712,112,735,608,940,160
  5. Step 5: Solve for x
    x = 712,112,735,608,940,160/383,670,110
  6. Step 6: Final answer
    x = 1,856,054,764.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.