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Finding the Third Proportional to 10,354,716 and 16,208,100

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Solution

The third proportional to 10,354,716 and 16,208,100 is: 25,370,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354,716 : 16,208,100 = 16,208,100 : x
  2. Step 2: Convert to fraction form
    10,354,716/16,208,100 = 16,208,100/x
  3. Step 3: Cross multiply
    10,354,716x = 16,208,100 × 16,208,100
  4. Step 4: Simplify right side
    10,354,716x = 262,702,505,610,000
  5. Step 5: Solve for x
    x = 262,702,505,610,000/10,354,716
  6. Step 6: Final answer
    x = 25,370,324.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.