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Finding the Third Proportional to 11,327,604,718 and 17,769,669,000

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Solution

The third proportional to 11,327,604,718 and 17,769,669,000 is: 27,875,366,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327,604,718 : 17,769,669,000 = 17,769,669,000 : x
  2. Step 2: Convert to fraction form
    11,327,604,718/17,769,669,000 = 17,769,669,000/x
  3. Step 3: Cross multiply
    11,327,604,718x = 17,769,669,000 × 17,769,669,000
  4. Step 4: Simplify right side
    11,327,604,718x = 315,761,136,369,560,977,408
  5. Step 5: Solve for x
    x = 315,761,136,369,560,977,408/11,327,604,718
  6. Step 6: Final answer
    x = 27,875,366,790.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.