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Finding the Third Proportional to 776,833,885 and 1,664,473,218

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Solution

The third proportional to 776,833,885 and 1,664,473,218 is: 3,566,362,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,833,885 : 1,664,473,218 = 1,664,473,218 : x
  2. Step 2: Convert to fraction form
    776,833,885/1,664,473,218 = 1,664,473,218/x
  3. Step 3: Cross multiply
    776,833,885x = 1,664,473,218 × 1,664,473,218
  4. Step 4: Simplify right side
    776,833,885x = 2,770,471,093,439,275,520
  5. Step 5: Solve for x
    x = 2,770,471,093,439,275,520/776,833,885
  6. Step 6: Final answer
    x = 3,566,362,316.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.