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Finding the Third Proportional to 576,761,967 and 893,641,383

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Solution

The third proportional to 576,761,967 and 893,641,383 is: 1,384,617,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,761,967 : 893,641,383 = 893,641,383 : x
  2. Step 2: Convert to fraction form
    576,761,967/893,641,383 = 893,641,383/x
  3. Step 3: Cross multiply
    576,761,967x = 893,641,383 × 893,641,383
  4. Step 4: Simplify right side
    576,761,967x = 798,594,921,410,152,704
  5. Step 5: Solve for x
    x = 798,594,921,410,152,704/576,761,967
  6. Step 6: Final answer
    x = 1,384,617,861.62

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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.