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Finding the Third Proportional to 1,138,228,243 and 2,538,172,042

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Solution

The third proportional to 1,138,228,243 and 2,538,172,042 is: 5,659,952,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,228,243 : 2,538,172,042 = 2,538,172,042 : x
  2. Step 2: Convert to fraction form
    1,138,228,243/2,538,172,042 = 2,538,172,042/x
  3. Step 3: Cross multiply
    1,138,228,243x = 2,538,172,042 × 2,538,172,042
  4. Step 4: Simplify right side
    1,138,228,243x = 6,442,317,314,790,450,176
  5. Step 5: Solve for x
    x = 6,442,317,314,790,450,176/1,138,228,243
  6. Step 6: Final answer
    x = 5,659,952,082.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.