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Finding the Third Proportional to 7,085,169 and 11,279,385

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Solution

The third proportional to 7,085,169 and 11,279,385 is: 17,956,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085,169 : 11,279,385 = 11,279,385 : x
  2. Step 2: Convert to fraction form
    7,085,169/11,279,385 = 11,279,385/x
  3. Step 3: Cross multiply
    7,085,169x = 11,279,385 × 11,279,385
  4. Step 4: Simplify right side
    7,085,169x = 127,224,525,978,225
  5. Step 5: Solve for x
    x = 127,224,525,978,225/7,085,169
  6. Step 6: Final answer
    x = 17,956,456.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.