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Finding the Third Proportional to 9,714,597.94 and 20,942,479.97

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Solution

The third proportional to 9,714,597.94 and 20,942,479.97 is: 45,147,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714,597.94 : 20,942,479.97 = 20,942,479.97 : x
  2. Step 2: Convert to fraction form
    9,714,597.94/20,942,479.97 = 20,942,479.97/x
  3. Step 3: Cross multiply
    9,714,597.94x = 20,942,479.97 × 20,942,479.97
  4. Step 4: Simplify right side
    9,714,597.94x = 438,587,467,241,495
  5. Step 5: Solve for x
    x = 438,587,467,241,495/9,714,597.94
  6. Step 6: Final answer
    x = 45,147,258.80

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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.