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Finding the Third Proportional to 11,548,070 and 17,874,910

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Solution

The third proportional to 11,548,070 and 17,874,910 is: 27,668,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548,070 : 17,874,910 = 17,874,910 : x
  2. Step 2: Convert to fraction form
    11,548,070/17,874,910 = 17,874,910/x
  3. Step 3: Cross multiply
    11,548,070x = 17,874,910 × 17,874,910
  4. Step 4: Simplify right side
    11,548,070x = 319,512,407,508,100
  5. Step 5: Solve for x
    x = 319,512,407,508,100/11,548,070
  6. Step 6: Final answer
    x = 27,668,035.22

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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.