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Finding the Third Proportional to 850,242,125,706 and 1,873,790,673,345

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Solution

The third proportional to 850,242,125,706 and 1,873,790,673,345 is: 4,129,519,558,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,242,125,706 : 1,873,790,673,345 = 1,873,790,673,345 : x
  2. Step 2: Convert to fraction form
    850,242,125,706/1,873,790,673,345 = 1,873,790,673,345/x
  3. Step 3: Cross multiply
    850,242,125,706x = 1,873,790,673,345 × 1,873,790,673,345
  4. Step 4: Simplify right side
    850,242,125,706x = 3,511,091,487,514,708,435,533,824
  5. Step 5: Solve for x
    x = 3,511,091,487,514,708,435,533,824/850,242,125,706
  6. Step 6: Final answer
    x = 4,129,519,558,442.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.