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Finding the Third Proportional to 1,694,277,442 and 2,476,395,012

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Solution

The third proportional to 1,694,277,442 and 2,476,395,012 is: 3,619,556,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694,277,442 : 2,476,395,012 = 2,476,395,012 : x
  2. Step 2: Convert to fraction form
    1,694,277,442/2,476,395,012 = 2,476,395,012/x
  3. Step 3: Cross multiply
    1,694,277,442x = 2,476,395,012 × 2,476,395,012
  4. Step 4: Simplify right side
    1,694,277,442x = 6,132,532,255,458,480,128
  5. Step 5: Solve for x
    x = 6,132,532,255,458,480,128/1,694,277,442
  6. Step 6: Final answer
    x = 3,619,556,103.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.