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Finding the Third Proportional to 7,024,000 and 15,324,228

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Solution

The third proportional to 7,024,000 and 15,324,228 is: 33,432,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024,000 : 15,324,228 = 15,324,228 : x
  2. Step 2: Convert to fraction form
    7,024,000/15,324,228 = 15,324,228/x
  3. Step 3: Cross multiply
    7,024,000x = 15,324,228 × 15,324,228
  4. Step 4: Simplify right side
    7,024,000x = 234,831,963,795,984
  5. Step 5: Solve for x
    x = 234,831,963,795,984/7,024,000
  6. Step 6: Final answer
    x = 33,432,796.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.