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Finding the Third Proportional to 322,215,396 and 477,283,026

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Solution

The third proportional to 322,215,396 and 477,283,026 is: 706,977,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,215,396 : 477,283,026 = 477,283,026 : x
  2. Step 2: Convert to fraction form
    322,215,396/477,283,026 = 477,283,026/x
  3. Step 3: Cross multiply
    322,215,396x = 477,283,026 × 477,283,026
  4. Step 4: Simplify right side
    322,215,396x = 227,799,086,907,716,672
  5. Step 5: Solve for x
    x = 227,799,086,907,716,672/322,215,396
  6. Step 6: Final answer
    x = 706,977,660.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.