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Finding the Third Proportional to 37,791,370.50 and 82,904,815.50

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Solution

The third proportional to 37,791,370.50 and 82,904,815.50 is: 181,872,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,791,370.50 : 82,904,815.50 = 82,904,815.50 : x
  2. Step 2: Convert to fraction form
    37,791,370.50/82,904,815.50 = 82,904,815.50/x
  3. Step 3: Cross multiply
    37,791,370.50x = 82,904,815.50 × 82,904,815.50
  4. Step 4: Simplify right side
    37,791,370.50x = 6,873,208,433,089,040
  5. Step 5: Solve for x
    x = 6,873,208,433,089,040/37,791,370.50
  6. Step 6: Final answer
    x = 181,872,431.25

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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.