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Finding the Third Proportional to 1,684,557,876 and 3,635,467,203

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Solution

The third proportional to 1,684,557,876 and 3,635,467,203 is: 7,845,751,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,557,876 : 3,635,467,203 = 3,635,467,203 : x
  2. Step 2: Convert to fraction form
    1,684,557,876/3,635,467,203 = 3,635,467,203/x
  3. Step 3: Cross multiply
    1,684,557,876x = 3,635,467,203 × 3,635,467,203
  4. Step 4: Simplify right side
    1,684,557,876x = 13,216,621,784,088,643,584
  5. Step 5: Solve for x
    x = 13,216,621,784,088,643,584/1,684,557,876
  6. Step 6: Final answer
    x = 7,845,751,085.43

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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.