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Finding the Third Proportional to 1,412,489,666 and 2,325,811,971

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Solution

The third proportional to 1,412,489,666 and 2,325,811,971 is: 3,829,692,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,489,666 : 2,325,811,971 = 2,325,811,971 : x
  2. Step 2: Convert to fraction form
    1,412,489,666/2,325,811,971 = 2,325,811,971/x
  3. Step 3: Cross multiply
    1,412,489,666x = 2,325,811,971 × 2,325,811,971
  4. Step 4: Simplify right side
    1,412,489,666x = 5,409,401,324,446,905,344
  5. Step 5: Solve for x
    x = 5,409,401,324,446,905,344/1,412,489,666
  6. Step 6: Final answer
    x = 3,829,692,672.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.