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Finding the Third Proportional to 850,242,116,017 and 1,873,790,653,977

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Solution

The third proportional to 850,242,116,017 and 1,873,790,653,977 is: 4,129,519,520,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,242,116,017 : 1,873,790,653,977 = 1,873,790,653,977 : x
  2. Step 2: Convert to fraction form
    850,242,116,017/1,873,790,653,977 = 1,873,790,653,977/x
  3. Step 3: Cross multiply
    850,242,116,017x = 1,873,790,653,977 × 1,873,790,653,977
  4. Step 4: Simplify right side
    850,242,116,017x = 3,511,091,414,931,553,208,238,080
  5. Step 5: Solve for x
    x = 3,511,091,414,931,553,208,238,080/850,242,116,017
  6. Step 6: Final answer
    x = 4,129,519,520,133.19

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Why These Related Problems?

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