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Finding the Third Proportional to 9,285,047.09 and 21,847,324.11

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Solution

The third proportional to 9,285,047.09 and 21,847,324.11 is: 51,405,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285,047.09 : 21,847,324.11 = 21,847,324.11 : x
  2. Step 2: Convert to fraction form
    9,285,047.09/21,847,324.11 = 21,847,324.11/x
  3. Step 3: Cross multiply
    9,285,047.09x = 21,847,324.11 × 21,847,324.11
  4. Step 4: Simplify right side
    9,285,047.09x = 477,305,570,910,749.44
  5. Step 5: Solve for x
    x = 477,305,570,910,749.44/9,285,047.09
  6. Step 6: Final answer
    x = 51,405,832.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.