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Finding the Third Proportional to 2,878,750,013 and 4,422,881,231

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Solution

The third proportional to 2,878,750,013 and 4,422,881,231 is: 6,795,268,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,750,013 : 4,422,881,231 = 4,422,881,231 : x
  2. Step 2: Convert to fraction form
    2,878,750,013/4,422,881,231 = 4,422,881,231/x
  3. Step 3: Cross multiply
    2,878,750,013x = 4,422,881,231 × 4,422,881,231
  4. Step 4: Simplify right side
    2,878,750,013x = 19,561,878,383,532,077,056
  5. Step 5: Solve for x
    x = 19,561,878,383,532,077,056/2,878,750,013
  6. Step 6: Final answer
    x = 6,795,268,187.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.