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Finding the Third Proportional to 23,532,986 and 50,847,313

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Solution

The third proportional to 23,532,986 and 50,847,313 is: 109,864,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532,986 : 50,847,313 = 50,847,313 : x
  2. Step 2: Convert to fraction form
    23,532,986/50,847,313 = 50,847,313/x
  3. Step 3: Cross multiply
    23,532,986x = 50,847,313 × 50,847,313
  4. Step 4: Simplify right side
    23,532,986x = 2,585,449,239,319,969
  5. Step 5: Solve for x
    x = 2,585,449,239,319,969/23,532,986
  6. Step 6: Final answer
    x = 109,864,903.64

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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.