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Finding the Third Proportional to 10,967,626 and 17,514,159

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Solution

The third proportional to 10,967,626 and 17,514,159 is: 27,968,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967,626 : 17,514,159 = 17,514,159 : x
  2. Step 2: Convert to fraction form
    10,967,626/17,514,159 = 17,514,159/x
  3. Step 3: Cross multiply
    10,967,626x = 17,514,159 × 17,514,159
  4. Step 4: Simplify right side
    10,967,626x = 306,745,765,477,281
  5. Step 5: Solve for x
    x = 306,745,765,477,281/10,967,626
  6. Step 6: Final answer
    x = 27,968,291.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.