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Finding the Third Proportional to 23,719,820 and 51,978,313

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Solution

The third proportional to 23,719,820 and 51,978,313 is: 113,902,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,719,820 : 51,978,313 = 51,978,313 : x
  2. Step 2: Convert to fraction form
    23,719,820/51,978,313 = 51,978,313/x
  3. Step 3: Cross multiply
    23,719,820x = 51,978,313 × 51,978,313
  4. Step 4: Simplify right side
    23,719,820x = 2,701,745,022,325,969
  5. Step 5: Solve for x
    x = 2,701,745,022,325,969/23,719,820
  6. Step 6: Final answer
    x = 113,902,425.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.