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Finding the Third Proportional to 3,669,172 and 8,633,347

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Solution

The third proportional to 3,669,172 and 8,633,347 is: 20,313,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,172 : 8,633,347 = 8,633,347 : x
  2. Step 2: Convert to fraction form
    3,669,172/8,633,347 = 8,633,347/x
  3. Step 3: Cross multiply
    3,669,172x = 8,633,347 × 8,633,347
  4. Step 4: Simplify right side
    3,669,172x = 74,534,680,422,409
  5. Step 5: Solve for x
    x = 74,534,680,422,409/3,669,172
  6. Step 6: Final answer
    x = 20,313,760.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.