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Finding the Third Proportional to 967,394,975 and 1,459,110,017

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Solution

The third proportional to 967,394,975 and 1,459,110,017 is: 2,200,757,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,394,975 : 1,459,110,017 = 1,459,110,017 : x
  2. Step 2: Convert to fraction form
    967,394,975/1,459,110,017 = 1,459,110,017/x
  3. Step 3: Cross multiply
    967,394,975x = 1,459,110,017 × 1,459,110,017
  4. Step 4: Simplify right side
    967,394,975x = 2,129,002,041,709,740,288
  5. Step 5: Solve for x
    x = 2,129,002,041,709,740,288/967,394,975
  6. Step 6: Final answer
    x = 2,200,757,804.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.