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Finding the Third Proportional to 1,251,378,180 and 1,893,173,324

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Solution

The third proportional to 1,251,378,180 and 1,893,173,324 is: 2,864,126,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,378,180 : 1,893,173,324 = 1,893,173,324 : x
  2. Step 2: Convert to fraction form
    1,251,378,180/1,893,173,324 = 1,893,173,324/x
  3. Step 3: Cross multiply
    1,251,378,180x = 1,893,173,324 × 1,893,173,324
  4. Step 4: Simplify right side
    1,251,378,180x = 3,584,105,234,705,208,832
  5. Step 5: Solve for x
    x = 3,584,105,234,705,208,832/1,251,378,180
  6. Step 6: Final answer
    x = 2,864,126,362.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.