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Finding the Third Proportional to 40,804,945 and 86,215,225

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Solution

The third proportional to 40,804,945 and 86,215,225 is: 182,160,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,804,945 : 86,215,225 = 86,215,225 : x
  2. Step 2: Convert to fraction form
    40,804,945/86,215,225 = 86,215,225/x
  3. Step 3: Cross multiply
    40,804,945x = 86,215,225 × 86,215,225
  4. Step 4: Simplify right side
    40,804,945x = 7,433,065,021,800,625
  5. Step 5: Solve for x
    x = 7,433,065,021,800,625/40,804,945
  6. Step 6: Final answer
    x = 182,160,888.14

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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.