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Finding the Third Proportional to 14,852,019 and 23,632,481.50

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Solution

The third proportional to 14,852,019 and 23,632,481.50 is: 37,603,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852,019 : 23,632,481.50 = 23,632,481.50 : x
  2. Step 2: Convert to fraction form
    14,852,019/23,632,481.50 = 23,632,481.50/x
  3. Step 3: Cross multiply
    14,852,019x = 23,632,481.50 × 23,632,481.50
  4. Step 4: Simplify right side
    14,852,019x = 558,494,181,847,842.25
  5. Step 5: Solve for x
    x = 558,494,181,847,842.25/14,852,019
  6. Step 6: Final answer
    x = 37,603,923.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.