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Finding the Third Proportional to 892,141,864.50 and 1,857,599,631

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Solution

The third proportional to 892,141,864.50 and 1,857,599,631 is: 3,867,856,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,141,864.50 : 1,857,599,631 = 1,857,599,631 : x
  2. Step 2: Convert to fraction form
    892,141,864.50/1,857,599,631 = 1,857,599,631/x
  3. Step 3: Cross multiply
    892,141,864.50x = 1,857,599,631 × 1,857,599,631
  4. Step 4: Simplify right side
    892,141,864.50x = 3,450,676,389,091,336,192
  5. Step 5: Solve for x
    x = 3,450,676,389,091,336,192/892,141,864.50
  6. Step 6: Final answer
    x = 3,867,856,140.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.