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Finding the Third Proportional to 1,210,640,013 and 2,517,901,422.75

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Solution

The third proportional to 1,210,640,013 and 2,517,901,422.75 is: 5,236,757,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,640,013 : 2,517,901,422.75 = 2,517,901,422.75 : x
  2. Step 2: Convert to fraction form
    1,210,640,013/2,517,901,422.75 = 2,517,901,422.75/x
  3. Step 3: Cross multiply
    1,210,640,013x = 2,517,901,422.75 × 2,517,901,422.75
  4. Step 4: Simplify right side
    1,210,640,013x = 6,339,827,574,686,474,240
  5. Step 5: Solve for x
    x = 6,339,827,574,686,474,240/1,210,640,013
  6. Step 6: Final answer
    x = 5,236,757,010.02

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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.