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Finding the Third Proportional to 382,011,417 and 818,485,614

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Solution

The third proportional to 382,011,417 and 818,485,614 is: 1,753,661,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,011,417 : 818,485,614 = 818,485,614 : x
  2. Step 2: Convert to fraction form
    382,011,417/818,485,614 = 818,485,614/x
  3. Step 3: Cross multiply
    382,011,417x = 818,485,614 × 818,485,614
  4. Step 4: Simplify right side
    382,011,417x = 669,918,700,324,957,056
  5. Step 5: Solve for x
    x = 669,918,700,324,957,056/382,011,417
  6. Step 6: Final answer
    x = 1,753,661,462.75

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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.