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Finding the Third Proportional to 11,324,200,566 and 16,986,302,577

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Solution

The third proportional to 11,324,200,566 and 16,986,302,577 is: 25,479,456,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324,200,566 : 16,986,302,577 = 16,986,302,577 : x
  2. Step 2: Convert to fraction form
    11,324,200,566/16,986,302,577 = 16,986,302,577/x
  3. Step 3: Cross multiply
    11,324,200,566x = 16,986,302,577 × 16,986,302,577
  4. Step 4: Simplify right side
    11,324,200,566x = 288,534,475,237,396,840,448
  5. Step 5: Solve for x
    x = 288,534,475,237,396,840,448/11,324,200,566
  6. Step 6: Final answer
    x = 25,479,456,457.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.