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Finding the Third Proportional to 8,538,723 and 18,592,902

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Solution

The third proportional to 8,538,723 and 18,592,902 is: 40,485,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538,723 : 18,592,902 = 18,592,902 : x
  2. Step 2: Convert to fraction form
    8,538,723/18,592,902 = 18,592,902/x
  3. Step 3: Cross multiply
    8,538,723x = 18,592,902 × 18,592,902
  4. Step 4: Simplify right side
    8,538,723x = 345,696,004,781,604
  5. Step 5: Solve for x
    x = 345,696,004,781,604/8,538,723
  6. Step 6: Final answer
    x = 40,485,679.74

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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.