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Finding the Third Proportional to 1,380,009,297 and 2,992,861,218

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Solution

The third proportional to 1,380,009,297 and 2,992,861,218 is: 6,490,694,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,009,297 : 2,992,861,218 = 2,992,861,218 : x
  2. Step 2: Convert to fraction form
    1,380,009,297/2,992,861,218 = 2,992,861,218/x
  3. Step 3: Cross multiply
    1,380,009,297x = 2,992,861,218 × 2,992,861,218
  4. Step 4: Simplify right side
    1,380,009,297x = 8,957,218,270,208,443,392
  5. Step 5: Solve for x
    x = 8,957,218,270,208,443,392/1,380,009,297
  6. Step 6: Final answer
    x = 6,490,694,149.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.