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Finding the Third Proportional to 1,781,326,625 and 3,684,845,314

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Solution

The third proportional to 1,781,326,625 and 3,684,845,314 is: 7,622,456,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,326,625 : 3,684,845,314 = 3,684,845,314 : x
  2. Step 2: Convert to fraction form
    1,781,326,625/3,684,845,314 = 3,684,845,314/x
  3. Step 3: Cross multiply
    1,781,326,625x = 3,684,845,314 × 3,684,845,314
  4. Step 4: Simplify right side
    1,781,326,625x = 13,578,084,988,107,759,616
  5. Step 5: Solve for x
    x = 13,578,084,988,107,759,616/1,781,326,625
  6. Step 6: Final answer
    x = 7,622,456,655.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.