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Finding the Third Proportional to 11,486,534 and 17,783,668

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Solution

The third proportional to 11,486,534 and 17,783,668 is: 27,533,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486,534 : 17,783,668 = 17,783,668 : x
  2. Step 2: Convert to fraction form
    11,486,534/17,783,668 = 17,783,668/x
  3. Step 3: Cross multiply
    11,486,534x = 17,783,668 × 17,783,668
  4. Step 4: Simplify right side
    11,486,534x = 316,258,847,534,224
  5. Step 5: Solve for x
    x = 316,258,847,534,224/11,486,534
  6. Step 6: Final answer
    x = 27,533,009.31

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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.