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Finding the Third Proportional to 1,745,748,447 and 3,811,481,967

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Solution

The third proportional to 1,745,748,447 and 3,811,481,967 is: 8,321,585,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,748,447 : 3,811,481,967 = 3,811,481,967 : x
  2. Step 2: Convert to fraction form
    1,745,748,447/3,811,481,967 = 3,811,481,967/x
  3. Step 3: Cross multiply
    1,745,748,447x = 3,811,481,967 × 3,811,481,967
  4. Step 4: Simplify right side
    1,745,748,447x = 14,527,394,784,766,189,568
  5. Step 5: Solve for x
    x = 14,527,394,784,766,189,568/1,745,748,447
  6. Step 6: Final answer
    x = 8,321,585,397.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.