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Finding the Third Proportional to 4,313,255.22 and 9,232,416.23

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Solution

The third proportional to 4,313,255.22 and 9,232,416.23 is: 19,761,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313,255.22 : 9,232,416.23 = 9,232,416.23 : x
  2. Step 2: Convert to fraction form
    4,313,255.22/9,232,416.23 = 9,232,416.23/x
  3. Step 3: Cross multiply
    4,313,255.22x = 9,232,416.23 × 9,232,416.23
  4. Step 4: Simplify right side
    4,313,255.22x = 85,237,509,416,560.05
  5. Step 5: Solve for x
    x = 85,237,509,416,560.05/4,313,255.22
  6. Step 6: Final answer
    x = 19,761,758.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.