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Finding the Third Proportional to 23,724,647 and 51,798,670

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Solution

The third proportional to 23,724,647 and 51,798,670 is: 113,093,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724,647 : 51,798,670 = 51,798,670 : x
  2. Step 2: Convert to fraction form
    23,724,647/51,798,670 = 51,798,670/x
  3. Step 3: Cross multiply
    23,724,647x = 51,798,670 × 51,798,670
  4. Step 4: Simplify right side
    23,724,647x = 2,683,102,213,768,900
  5. Step 5: Solve for x
    x = 2,683,102,213,768,900/23,724,647
  6. Step 6: Final answer
    x = 113,093,451.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.