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Finding the Third Proportional to 447,394,766 and 956,968,372

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Solution

The third proportional to 447,394,766 and 956,968,372 is: 2,046,936,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,394,766 : 956,968,372 = 956,968,372 : x
  2. Step 2: Convert to fraction form
    447,394,766/956,968,372 = 956,968,372/x
  3. Step 3: Cross multiply
    447,394,766x = 956,968,372 × 956,968,372
  4. Step 4: Simplify right side
    447,394,766x = 915,788,465,008,330,368
  5. Step 5: Solve for x
    x = 915,788,465,008,330,368/447,394,766
  6. Step 6: Final answer
    x = 2,046,936,027.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.