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Finding the Third Proportional to 2,339,965,252 and 4,761,651,856

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Solution

The third proportional to 2,339,965,252 and 4,761,651,856 is: 9,689,600,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339,965,252 : 4,761,651,856 = 4,761,651,856 : x
  2. Step 2: Convert to fraction form
    2,339,965,252/4,761,651,856 = 4,761,651,856/x
  3. Step 3: Cross multiply
    2,339,965,252x = 4,761,651,856 × 4,761,651,856
  4. Step 4: Simplify right side
    2,339,965,252x = 22,673,328,397,748,244,480
  5. Step 5: Solve for x
    x = 22,673,328,397,748,244,480/2,339,965,252
  6. Step 6: Final answer
    x = 9,689,600,466.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.