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Finding the Third Proportional to 11,014,096.92 and 22,933,328.34

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Solution

The third proportional to 11,014,096.92 and 22,933,328.34 is: 47,751,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014,096.92 : 22,933,328.34 = 22,933,328.34 : x
  2. Step 2: Convert to fraction form
    11,014,096.92/22,933,328.34 = 22,933,328.34/x
  3. Step 3: Cross multiply
    11,014,096.92x = 22,933,328.34 × 22,933,328.34
  4. Step 4: Simplify right side
    11,014,096.92x = 525,937,548,922,247.12
  5. Step 5: Solve for x
    x = 525,937,548,922,247.12/11,014,096.92
  6. Step 6: Final answer
    x = 47,751,309.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.