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Finding the Third Proportional to 3,586,363,872 and 5,625,436,912

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Solution

The third proportional to 3,586,363,872 and 5,625,436,912 is: 8,823,851,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586,363,872 : 5,625,436,912 = 5,625,436,912 : x
  2. Step 2: Convert to fraction form
    3,586,363,872/5,625,436,912 = 5,625,436,912/x
  3. Step 3: Cross multiply
    3,586,363,872x = 5,625,436,912 × 5,625,436,912
  4. Step 4: Simplify right side
    3,586,363,872x = 31,645,540,450,892,095,488
  5. Step 5: Solve for x
    x = 31,645,540,450,892,095,488/3,586,363,872
  6. Step 6: Final answer
    x = 8,823,851,003.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.