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Finding the Third Proportional to 1,138,228,248 and 2,538,172,052

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Solution

The third proportional to 1,138,228,248 and 2,538,172,052 is: 5,659,952,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,228,248 : 2,538,172,052 = 2,538,172,052 : x
  2. Step 2: Convert to fraction form
    1,138,228,248/2,538,172,052 = 2,538,172,052/x
  3. Step 3: Cross multiply
    1,138,228,248x = 2,538,172,052 × 2,538,172,052
  4. Step 4: Simplify right side
    1,138,228,248x = 6,442,317,365,553,890,304
  5. Step 5: Solve for x
    x = 6,442,317,365,553,890,304/1,138,228,248
  6. Step 6: Final answer
    x = 5,659,952,102.64

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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.