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Finding the Third Proportional to 25,246,800 and 35,724,024

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Solution

The third proportional to 25,246,800 and 35,724,024 is: 50,549,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,246,800 : 35,724,024 = 35,724,024 : x
  2. Step 2: Convert to fraction form
    25,246,800/35,724,024 = 35,724,024/x
  3. Step 3: Cross multiply
    25,246,800x = 35,724,024 × 35,724,024
  4. Step 4: Simplify right side
    25,246,800x = 1,276,205,890,752,576
  5. Step 5: Solve for x
    x = 1,276,205,890,752,576/25,246,800
  6. Step 6: Final answer
    x = 50,549,213.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.