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Finding the Third Proportional to 1,948,978,668 and 3,199,463,298

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Solution

The third proportional to 1,948,978,668 and 3,199,463,298 is: 5,252,271,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,978,668 : 3,199,463,298 = 3,199,463,298 : x
  2. Step 2: Convert to fraction form
    1,948,978,668/3,199,463,298 = 3,199,463,298/x
  3. Step 3: Cross multiply
    1,948,978,668x = 3,199,463,298 × 3,199,463,298
  4. Step 4: Simplify right side
    1,948,978,668x = 10,236,565,395,249,037,312
  5. Step 5: Solve for x
    x = 10,236,565,395,249,037,312/1,948,978,668
  6. Step 6: Final answer
    x = 5,252,271,645.31

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.