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Finding the Third Proportional to 5,114,097 and 10,404,450

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Solution

The third proportional to 5,114,097 and 10,404,450 is: 21,167,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114,097 : 10,404,450 = 10,404,450 : x
  2. Step 2: Convert to fraction form
    5,114,097/10,404,450 = 10,404,450/x
  3. Step 3: Cross multiply
    5,114,097x = 10,404,450 × 10,404,450
  4. Step 4: Simplify right side
    5,114,097x = 108,252,579,802,500
  5. Step 5: Solve for x
    x = 108,252,579,802,500/5,114,097
  6. Step 6: Final answer
    x = 21,167,486.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.