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Finding the Third Proportional to 268,217,682 and 410,121,971

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Solution

The third proportional to 268,217,682 and 410,121,971 is: 627,102,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,217,682 : 410,121,971 = 410,121,971 : x
  2. Step 2: Convert to fraction form
    268,217,682/410,121,971 = 410,121,971/x
  3. Step 3: Cross multiply
    268,217,682x = 410,121,971 × 410,121,971
  4. Step 4: Simplify right side
    268,217,682x = 168,200,031,096,924,832
  5. Step 5: Solve for x
    x = 168,200,031,096,924,832/268,217,682
  6. Step 6: Final answer
    x = 627,102,694.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.