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Finding the Third Proportional to 778,079,868 and 1,680,392,541

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Solution

The third proportional to 778,079,868 and 1,680,392,541 is: 3,629,086,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,079,868 : 1,680,392,541 = 1,680,392,541 : x
  2. Step 2: Convert to fraction form
    778,079,868/1,680,392,541 = 1,680,392,541/x
  3. Step 3: Cross multiply
    778,079,868x = 1,680,392,541 × 1,680,392,541
  4. Step 4: Simplify right side
    778,079,868x = 2,823,719,091,848,436,736
  5. Step 5: Solve for x
    x = 2,823,719,091,848,436,736/778,079,868
  6. Step 6: Final answer
    x = 3,629,086,431.84

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Why These Related Problems?

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