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Finding the Third Proportional to 913,843,614 and 1,392,192,192

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Solution

The third proportional to 913,843,614 and 1,392,192,192 is: 2,120,930,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,843,614 : 1,392,192,192 = 1,392,192,192 : x
  2. Step 2: Convert to fraction form
    913,843,614/1,392,192,192 = 1,392,192,192/x
  3. Step 3: Cross multiply
    913,843,614x = 1,392,192,192 × 1,392,192,192
  4. Step 4: Simplify right side
    913,843,614x = 1,938,199,099,465,764,864
  5. Step 5: Solve for x
    x = 1,938,199,099,465,764,864/913,843,614
  6. Step 6: Final answer
    x = 2,120,930,835.18

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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.