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Finding the Third Proportional to 7,841,733 and 16,986,233

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Solution

The third proportional to 7,841,733 and 16,986,233 is: 36,794,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,733 : 16,986,233 = 16,986,233 : x
  2. Step 2: Convert to fraction form
    7,841,733/16,986,233 = 16,986,233/x
  3. Step 3: Cross multiply
    7,841,733x = 16,986,233 × 16,986,233
  4. Step 4: Simplify right side
    7,841,733x = 288,532,111,530,289
  5. Step 5: Solve for x
    x = 288,532,111,530,289/7,841,733
  6. Step 6: Final answer
    x = 36,794,431.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.