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Finding the Third Proportional to 4,598,225 and 10,839,296

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Solution

The third proportional to 4,598,225 and 10,839,296 is: 25,551,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598,225 : 10,839,296 = 10,839,296 : x
  2. Step 2: Convert to fraction form
    4,598,225/10,839,296 = 10,839,296/x
  3. Step 3: Cross multiply
    4,598,225x = 10,839,296 × 10,839,296
  4. Step 4: Simplify right side
    4,598,225x = 117,490,337,775,616
  5. Step 5: Solve for x
    x = 117,490,337,775,616/4,598,225
  6. Step 6: Final answer
    x = 25,551,237.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.