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Finding the Third Proportional to 822,121,680.56 and 1,940,060,028.84

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Solution

The third proportional to 822,121,680.56 and 1,940,060,028.84 is: 4,578,194,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,121,680.56 : 1,940,060,028.84 = 1,940,060,028.84 : x
  2. Step 2: Convert to fraction form
    822,121,680.56/1,940,060,028.84 = 1,940,060,028.84/x
  3. Step 3: Cross multiply
    822,121,680.56x = 1,940,060,028.84 × 1,940,060,028.84
  4. Step 4: Simplify right side
    822,121,680.56x = 3,763,832,915,517,406,208
  5. Step 5: Solve for x
    x = 3,763,832,915,517,406,208/822,121,680.56
  6. Step 6: Final answer
    x = 4,578,194,450.42

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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.