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Finding the Third Proportional to 1,745,748,459 and 3,811,481,991

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Solution

The third proportional to 1,745,748,459 and 3,811,481,991 is: 8,321,585,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,748,459 : 3,811,481,991 = 3,811,481,991 : x
  2. Step 2: Convert to fraction form
    1,745,748,459/3,811,481,991 = 3,811,481,991/x
  3. Step 3: Cross multiply
    1,745,748,459x = 3,811,481,991 × 3,811,481,991
  4. Step 4: Simplify right side
    1,745,748,459x = 14,527,394,967,717,324,800
  5. Step 5: Solve for x
    x = 14,527,394,967,717,324,800/1,745,748,459
  6. Step 6: Final answer
    x = 8,321,585,445.38

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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.