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Finding the Third Proportional to 14,022,760.50 and 21,540,678.75

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Solution

The third proportional to 14,022,760.50 and 21,540,678.75 is: 33,089,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,760.50 : 21,540,678.75 = 21,540,678.75 : x
  2. Step 2: Convert to fraction form
    14,022,760.50/21,540,678.75 = 21,540,678.75/x
  3. Step 3: Cross multiply
    14,022,760.50x = 21,540,678.75 × 21,540,678.75
  4. Step 4: Simplify right side
    14,022,760.50x = 464,000,841,010,701.56
  5. Step 5: Solve for x
    x = 464,000,841,010,701.56/14,022,760.50
  6. Step 6: Final answer
    x = 33,089,122.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.