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Finding the Third Proportional to 2,858,078,338.88 and 5,951,032,411.50

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Solution

The third proportional to 2,858,078,338.88 and 5,951,032,411.50 is: 12,391,118,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858,078,338.88 : 5,951,032,411.50 = 5,951,032,411.50 : x
  2. Step 2: Convert to fraction form
    2,858,078,338.88/5,951,032,411.50 = 5,951,032,411.50/x
  3. Step 3: Cross multiply
    2,858,078,338.88x = 5,951,032,411.50 × 5,951,032,411.50
  4. Step 4: Simplify right side
    2,858,078,338.88x = 35,414,786,762,723,504,128
  5. Step 5: Solve for x
    x = 35,414,786,762,723,504,128/2,858,078,338.88
  6. Step 6: Final answer
    x = 12,391,118,284.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.