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Finding the Third Proportional to 10,806,828 and 16,715,240.25

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Solution

The third proportional to 10,806,828 and 16,715,240.25 is: 25,853,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806,828 : 16,715,240.25 = 16,715,240.25 : x
  2. Step 2: Convert to fraction form
    10,806,828/16,715,240.25 = 16,715,240.25/x
  3. Step 3: Cross multiply
    10,806,828x = 16,715,240.25 × 16,715,240.25
  4. Step 4: Simplify right side
    10,806,828x = 279,399,256,615,220.06
  5. Step 5: Solve for x
    x = 279,399,256,615,220.06/10,806,828
  6. Step 6: Final answer
    x = 25,853,956.09

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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.