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Finding the Third Proportional to 40,804,971 and 86,215,277

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Solution

The third proportional to 40,804,971 and 86,215,277 is: 182,160,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,804,971 : 86,215,277 = 86,215,277 : x
  2. Step 2: Convert to fraction form
    40,804,971/86,215,277 = 86,215,277/x
  3. Step 3: Cross multiply
    40,804,971x = 86,215,277 × 86,215,277
  4. Step 4: Simplify right side
    40,804,971x = 7,433,073,988,186,729
  5. Step 5: Solve for x
    x = 7,433,073,988,186,729/40,804,971
  6. Step 6: Final answer
    x = 182,160,991.81

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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.