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Finding the Third Proportional to 9,722,467.97 and 20,952,234.56

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Solution

The third proportional to 9,722,467.97 and 20,952,234.56 is: 45,152,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,467.97 : 20,952,234.56 = 20,952,234.56 : x
  2. Step 2: Convert to fraction form
    9,722,467.97/20,952,234.56 = 20,952,234.56/x
  3. Step 3: Cross multiply
    9,722,467.97x = 20,952,234.56 × 20,952,234.56
  4. Step 4: Simplify right side
    9,722,467.97x = 438,996,133,162,019.56
  5. Step 5: Solve for x
    x = 438,996,133,162,019.56/9,722,467.97
  6. Step 6: Final answer
    x = 45,152,746.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.