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Finding the Third Proportional to 11,052,299 and 23,784,215

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Solution

The third proportional to 11,052,299 and 23,784,215 is: 51,182,915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052,299 : 23,784,215 = 23,784,215 : x
  2. Step 2: Convert to fraction form
    11,052,299/23,784,215 = 23,784,215/x
  3. Step 3: Cross multiply
    11,052,299x = 23,784,215 × 23,784,215
  4. Step 4: Simplify right side
    11,052,299x = 565,688,883,166,225
  5. Step 5: Solve for x
    x = 565,688,883,166,225/11,052,299
  6. Step 6: Final answer
    x = 51,182,915.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.