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Finding the Third Proportional to 35,000,356.50 and 54,780,198.75

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Solution

The third proportional to 35,000,356.50 and 54,780,198.75 is: 85,738,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,000,356.50 : 54,780,198.75 = 54,780,198.75 : x
  2. Step 2: Convert to fraction form
    35,000,356.50/54,780,198.75 = 54,780,198.75/x
  3. Step 3: Cross multiply
    35,000,356.50x = 54,780,198.75 × 54,780,198.75
  4. Step 4: Simplify right side
    35,000,356.50x = 3,000,870,175,089,501.50
  5. Step 5: Solve for x
    x = 3,000,870,175,089,501.50/35,000,356.50
  6. Step 6: Final answer
    x = 85,738,274.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.