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Finding the Third Proportional to 50,769,072.56 and 77,343,984.84

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Solution

The third proportional to 50,769,072.56 and 77,343,984.84 is: 117,829,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769,072.56 : 77,343,984.84 = 77,343,984.84 : x
  2. Step 2: Convert to fraction form
    50,769,072.56/77,343,984.84 = 77,343,984.84/x
  3. Step 3: Cross multiply
    50,769,072.56x = 77,343,984.84 × 77,343,984.84
  4. Step 4: Simplify right side
    50,769,072.56x = 5,982,091,991,510,230
  5. Step 5: Solve for x
    x = 5,982,091,991,510,230/50,769,072.56
  6. Step 6: Final answer
    x = 117,829,451.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.