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Finding the Third Proportional to 811,198,464 and 1,751,710,080

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Solution

The third proportional to 811,198,464 and 1,751,710,080 is: 3,782,660,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,198,464 : 1,751,710,080 = 1,751,710,080 : x
  2. Step 2: Convert to fraction form
    811,198,464/1,751,710,080 = 1,751,710,080/x
  3. Step 3: Cross multiply
    811,198,464x = 1,751,710,080 × 1,751,710,080
  4. Step 4: Simplify right side
    811,198,464x = 3,068,488,204,373,606,400
  5. Step 5: Solve for x
    x = 3,068,488,204,373,606,400/811,198,464
  6. Step 6: Final answer
    x = 3,782,660,274.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.