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Finding the Third Proportional to 778,079,803.50 and 1,680,392,414.25

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Solution

The third proportional to 778,079,803.50 and 1,680,392,414.25 is: 3,629,086,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,079,803.50 : 1,680,392,414.25 = 1,680,392,414.25 : x
  2. Step 2: Convert to fraction form
    778,079,803.50/1,680,392,414.25 = 1,680,392,414.25/x
  3. Step 3: Cross multiply
    778,079,803.50x = 1,680,392,414.25 × 1,680,392,414.25
  4. Step 4: Simplify right side
    778,079,803.50x = 2,823,718,665,868,943,360
  5. Step 5: Solve for x
    x = 2,823,718,665,868,943,360/778,079,803.50
  6. Step 6: Final answer
    x = 3,629,086,185.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.