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Finding the Third Proportional to 576,469,892,638 and 1,200,653,847,920

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Solution

The third proportional to 576,469,892,638 and 1,200,653,847,920 is: 2,500,685,085,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,469,892,638 : 1,200,653,847,920 = 1,200,653,847,920 : x
  2. Step 2: Convert to fraction form
    576,469,892,638/1,200,653,847,920 = 1,200,653,847,920/x
  3. Step 3: Cross multiply
    576,469,892,638x = 1,200,653,847,920 × 1,200,653,847,920
  4. Step 4: Simplify right side
    576,469,892,638x = 1,441,569,662,525,102,547,271,680
  5. Step 5: Solve for x
    x = 1,441,569,662,525,102,547,271,680/576,469,892,638
  6. Step 6: Final answer
    x = 2,500,685,085,093.16

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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.