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Finding the Third Proportional to 3,546,802.50 and 5,503,173.50

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Solution

The third proportional to 3,546,802.50 and 5,503,173.50 is: 8,538,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546,802.50 : 5,503,173.50 = 5,503,173.50 : x
  2. Step 2: Convert to fraction form
    3,546,802.50/5,503,173.50 = 5,503,173.50/x
  3. Step 3: Cross multiply
    3,546,802.50x = 5,503,173.50 × 5,503,173.50
  4. Step 4: Simplify right side
    3,546,802.50x = 30,284,918,571,102.25
  5. Step 5: Solve for x
    x = 30,284,918,571,102.25/3,546,802.50
  6. Step 6: Final answer
    x = 8,538,653.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.