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Finding the Third Proportional to 1,067,843,812 and 1,652,573,238

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Solution

The third proportional to 1,067,843,812 and 1,652,573,238 is: 2,557,488,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,843,812 : 1,652,573,238 = 1,652,573,238 : x
  2. Step 2: Convert to fraction form
    1,067,843,812/1,652,573,238 = 1,652,573,238/x
  3. Step 3: Cross multiply
    1,067,843,812x = 1,652,573,238 × 1,652,573,238
  4. Step 4: Simplify right side
    1,067,843,812x = 2,730,998,306,953,804,800
  5. Step 5: Solve for x
    x = 2,730,998,306,953,804,800/1,067,843,812
  6. Step 6: Final answer
    x = 2,557,488,535.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.