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Finding the Third Proportional to 8,082,165.29 and 17,645,742.22

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Solution

The third proportional to 8,082,165.29 and 17,645,742.22 is: 38,525,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082,165.29 : 17,645,742.22 = 17,645,742.22 : x
  2. Step 2: Convert to fraction form
    8,082,165.29/17,645,742.22 = 17,645,742.22/x
  3. Step 3: Cross multiply
    8,082,165.29x = 17,645,742.22 × 17,645,742.22
  4. Step 4: Simplify right side
    8,082,165.29x = 311,372,218,640,056.19
  5. Step 5: Solve for x
    x = 311,372,218,640,056.19/8,082,165.29
  6. Step 6: Final answer
    x = 38,525,841.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.