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Finding the Third Proportional to 10,257,192 and 16,242,005.25

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Solution

The third proportional to 10,257,192 and 16,242,005.25 is: 25,718,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,192 : 16,242,005.25 = 16,242,005.25 : x
  2. Step 2: Convert to fraction form
    10,257,192/16,242,005.25 = 16,242,005.25/x
  3. Step 3: Cross multiply
    10,257,192x = 16,242,005.25 × 16,242,005.25
  4. Step 4: Simplify right side
    10,257,192x = 263,802,734,541,027.56
  5. Step 5: Solve for x
    x = 263,802,734,541,027.56/10,257,192
  6. Step 6: Final answer
    x = 25,718,806.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.