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Finding the Third Proportional to 822,121,635 and 1,940,059,912

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Solution

The third proportional to 822,121,635 and 1,940,059,912 is: 4,578,194,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,121,635 : 1,940,059,912 = 1,940,059,912 : x
  2. Step 2: Convert to fraction form
    822,121,635/1,940,059,912 = 1,940,059,912/x
  3. Step 3: Cross multiply
    822,121,635x = 1,940,059,912 × 1,940,059,912
  4. Step 4: Simplify right side
    822,121,635x = 3,763,832,462,149,447,680
  5. Step 5: Solve for x
    x = 3,763,832,462,149,447,680/822,121,635
  6. Step 6: Final answer
    x = 4,578,194,152.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.