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Finding the Third Proportional to 383,670,112 and 843,867,728

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Solution

The third proportional to 383,670,112 and 843,867,728 is: 1,856,054,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,670,112 : 843,867,728 = 843,867,728 : x
  2. Step 2: Convert to fraction form
    383,670,112/843,867,728 = 843,867,728/x
  3. Step 3: Cross multiply
    383,670,112x = 843,867,728 × 843,867,728
  4. Step 4: Simplify right side
    383,670,112x = 712,112,742,359,881,984
  5. Step 5: Solve for x
    x = 712,112,742,359,881,984/383,670,112
  6. Step 6: Final answer
    x = 1,856,054,772.28

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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.