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Finding the Third Proportional to 17,699,862 and 27,811,867

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Solution

The third proportional to 17,699,862 and 27,811,867 is: 43,700,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699,862 : 27,811,867 = 27,811,867 : x
  2. Step 2: Convert to fraction form
    17,699,862/27,811,867 = 27,811,867/x
  3. Step 3: Cross multiply
    17,699,862x = 27,811,867 × 27,811,867
  4. Step 4: Simplify right side
    17,699,862x = 773,499,946,025,689
  5. Step 5: Solve for x
    x = 773,499,946,025,689/17,699,862
  6. Step 6: Final answer
    x = 43,700,902.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.