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Finding the Third Proportional to 1,781,326,623 and 3,684,845,310

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Solution

The third proportional to 1,781,326,623 and 3,684,845,310 is: 7,622,456,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,326,623 : 3,684,845,310 = 3,684,845,310 : x
  2. Step 2: Convert to fraction form
    1,781,326,623/3,684,845,310 = 3,684,845,310/x
  3. Step 3: Cross multiply
    1,781,326,623x = 3,684,845,310 × 3,684,845,310
  4. Step 4: Simplify right side
    1,781,326,623x = 13,578,084,958,628,997,120
  5. Step 5: Solve for x
    x = 13,578,084,958,628,997,120/1,781,326,623
  6. Step 6: Final answer
    x = 7,622,456,647.37

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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.