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Finding the Third Proportional to 864,846,558 and 1,865,741,796

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Solution

The third proportional to 864,846,558 and 1,865,741,796 is: 4,024,982,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,846,558 : 1,865,741,796 = 1,865,741,796 : x
  2. Step 2: Convert to fraction form
    864,846,558/1,865,741,796 = 1,865,741,796/x
  3. Step 3: Cross multiply
    864,846,558x = 1,865,741,796 × 1,865,741,796
  4. Step 4: Simplify right side
    864,846,558x = 3,480,992,449,341,305,856
  5. Step 5: Solve for x
    x = 3,480,992,449,341,305,856/864,846,558
  6. Step 6: Final answer
    x = 4,024,982,717.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.