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Finding the Third Proportional to 54,771,022 and 85,297,225

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Solution

The third proportional to 54,771,022 and 85,297,225 is: 132,836,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,771,022 : 85,297,225 = 85,297,225 : x
  2. Step 2: Convert to fraction form
    54,771,022/85,297,225 = 85,297,225/x
  3. Step 3: Cross multiply
    54,771,022x = 85,297,225 × 85,297,225
  4. Step 4: Simplify right side
    54,771,022x = 7,275,616,592,700,625
  5. Step 5: Solve for x
    x = 7,275,616,592,700,625/54,771,022
  6. Step 6: Final answer
    x = 132,836,969.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.