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Finding the Third Proportional to 2,910,847,800 and 6,331,706,250

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Solution

The third proportional to 2,910,847,800 and 6,331,706,250 is: 13,772,792,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910,847,800 : 6,331,706,250 = 6,331,706,250 : x
  2. Step 2: Convert to fraction form
    2,910,847,800/6,331,706,250 = 6,331,706,250/x
  3. Step 3: Cross multiply
    2,910,847,800x = 6,331,706,250 × 6,331,706,250
  4. Step 4: Simplify right side
    2,910,847,800x = 40,090,504,036,289,060,864
  5. Step 5: Solve for x
    x = 40,090,504,036,289,060,864/2,910,847,800
  6. Step 6: Final answer
    x = 13,772,792,942.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.