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Finding the Third Proportional to 2,858,078,339 and 5,951,032,411

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Solution

The third proportional to 2,858,078,339 and 5,951,032,411 is: 12,391,118,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858,078,339 : 5,951,032,411 = 5,951,032,411 : x
  2. Step 2: Convert to fraction form
    2,858,078,339/5,951,032,411 = 5,951,032,411/x
  3. Step 3: Cross multiply
    2,858,078,339x = 5,951,032,411 × 5,951,032,411
  4. Step 4: Simplify right side
    2,858,078,339x = 35,414,786,756,772,474,880
  5. Step 5: Solve for x
    x = 35,414,786,756,772,474,880/2,858,078,339
  6. Step 6: Final answer
    x = 12,391,118,281.65

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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.