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Finding the Third Proportional to 10,509,204 and 22,639,056

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Solution

The third proportional to 10,509,204 and 22,639,056 is: 48,769,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509,204 : 22,639,056 = 22,639,056 : x
  2. Step 2: Convert to fraction form
    10,509,204/22,639,056 = 22,639,056/x
  3. Step 3: Cross multiply
    10,509,204x = 22,639,056 × 22,639,056
  4. Step 4: Simplify right side
    10,509,204x = 512,526,856,571,136
  5. Step 5: Solve for x
    x = 512,526,856,571,136/10,509,204
  6. Step 6: Final answer
    x = 48,769,331.78

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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.