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Finding the Third Proportional to 628,439,600,744 and 1,378,548,344,656

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Solution

The third proportional to 628,439,600,744 and 1,378,548,344,656 is: 3,023,990,748,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,439,600,744 : 1,378,548,344,656 = 1,378,548,344,656 : x
  2. Step 2: Convert to fraction form
    628,439,600,744/1,378,548,344,656 = 1,378,548,344,656/x
  3. Step 3: Cross multiply
    628,439,600,744x = 1,378,548,344,656 × 1,378,548,344,656
  4. Step 4: Simplify right side
    628,439,600,744x = 1,900,395,538,553,797,714,378,752
  5. Step 5: Solve for x
    x = 1,900,395,538,553,797,714,378,752/628,439,600,744
  6. Step 6: Final answer
    x = 3,023,990,748,361.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.