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Finding the Third Proportional to 3,729,477.50 and 5,264,131.50

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Solution

The third proportional to 3,729,477.50 and 5,264,131.50 is: 7,430,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729,477.50 : 5,264,131.50 = 5,264,131.50 : x
  2. Step 2: Convert to fraction form
    3,729,477.50/5,264,131.50 = 5,264,131.50/x
  3. Step 3: Cross multiply
    3,729,477.50x = 5,264,131.50 × 5,264,131.50
  4. Step 4: Simplify right side
    3,729,477.50x = 27,711,080,449,292.25
  5. Step 5: Solve for x
    x = 27,711,080,449,292.25/3,729,477.50
  6. Step 6: Final answer
    x = 7,430,284.93

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