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Finding the Third Proportional to 40,804,989 and 86,215,313

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Solution

The third proportional to 40,804,989 and 86,215,313 is: 182,161,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,804,989 : 86,215,313 = 86,215,313 : x
  2. Step 2: Convert to fraction form
    40,804,989/86,215,313 = 86,215,313/x
  3. Step 3: Cross multiply
    40,804,989x = 86,215,313 × 86,215,313
  4. Step 4: Simplify right side
    40,804,989x = 7,433,080,195,687,969
  5. Step 5: Solve for x
    x = 7,433,080,195,687,969/40,804,989
  6. Step 6: Final answer
    x = 182,161,063.58

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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.