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Finding the Third Proportional to 22,469,144 and 48,409,273

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Solution

The third proportional to 22,469,144 and 48,409,273 is: 104,296,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469,144 : 48,409,273 = 48,409,273 : x
  2. Step 2: Convert to fraction form
    22,469,144/48,409,273 = 48,409,273/x
  3. Step 3: Cross multiply
    22,469,144x = 48,409,273 × 48,409,273
  4. Step 4: Simplify right side
    22,469,144x = 2,343,457,712,388,529
  5. Step 5: Solve for x
    x = 2,343,457,712,388,529/22,469,144
  6. Step 6: Final answer
    x = 104,296,706.29

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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.