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Finding the Third Proportional to 40,804,966 and 86,215,266

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Solution

The third proportional to 40,804,966 and 86,215,266 is: 182,160,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,804,966 : 86,215,266 = 86,215,266 : x
  2. Step 2: Convert to fraction form
    40,804,966/86,215,266 = 86,215,266/x
  3. Step 3: Cross multiply
    40,804,966x = 86,215,266 × 86,215,266
  4. Step 4: Simplify right side
    40,804,966x = 7,433,072,091,450,756
  5. Step 5: Solve for x
    x = 7,433,072,091,450,756/40,804,966
  6. Step 6: Final answer
    x = 182,160,967.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.