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Finding the Third Proportional to 17,474,284 and 27,352,178

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Solution

The third proportional to 17,474,284 and 27,352,178 is: 42,813,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474,284 : 27,352,178 = 27,352,178 : x
  2. Step 2: Convert to fraction form
    17,474,284/27,352,178 = 27,352,178/x
  3. Step 3: Cross multiply
    17,474,284x = 27,352,178 × 27,352,178
  4. Step 4: Simplify right side
    17,474,284x = 748,141,641,343,684
  5. Step 5: Solve for x
    x = 748,141,641,343,684/17,474,284
  6. Step 6: Final answer
    x = 42,813,865.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.