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Finding the Third Proportional to 11,313,680 and 17,514,758

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Solution

The third proportional to 11,313,680 and 17,514,758 is: 27,114,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313,680 : 17,514,758 = 17,514,758 : x
  2. Step 2: Convert to fraction form
    11,313,680/17,514,758 = 17,514,758/x
  3. Step 3: Cross multiply
    11,313,680x = 17,514,758 × 17,514,758
  4. Step 4: Simplify right side
    11,313,680x = 306,766,747,798,564
  5. Step 5: Solve for x
    x = 306,766,747,798,564/11,313,680
  6. Step 6: Final answer
    x = 27,114,674.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.