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Finding the Third Proportional to 37,907,194.50 and 54,170,365.50

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Solution

The third proportional to 37,907,194.50 and 54,170,365.50 is: 77,410,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,907,194.50 : 54,170,365.50 = 54,170,365.50 : x
  2. Step 2: Convert to fraction form
    37,907,194.50/54,170,365.50 = 54,170,365.50/x
  3. Step 3: Cross multiply
    37,907,194.50x = 54,170,365.50 × 54,170,365.50
  4. Step 4: Simplify right side
    37,907,194.50x = 2,934,428,498,403,590
  5. Step 5: Solve for x
    x = 2,934,428,498,403,590/37,907,194.50
  6. Step 6: Final answer
    x = 77,410,859.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.