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Finding the Third Proportional to 8,062,416 and 17,541,912

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Solution

The third proportional to 8,062,416 and 17,541,912 is: 38,167,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062,416 : 17,541,912 = 17,541,912 : x
  2. Step 2: Convert to fraction form
    8,062,416/17,541,912 = 17,541,912/x
  3. Step 3: Cross multiply
    8,062,416x = 17,541,912 × 17,541,912
  4. Step 4: Simplify right side
    8,062,416x = 307,718,676,615,744
  5. Step 5: Solve for x
    x = 307,718,676,615,744/8,062,416
  6. Step 6: Final answer
    x = 38,167,055.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.