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Finding the Third Proportional to 3,699,561,968 and 8,632,609,582

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Solution

The third proportional to 3,699,561,968 and 8,632,609,582 is: 20,143,451,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,561,968 : 8,632,609,582 = 8,632,609,582 : x
  2. Step 2: Convert to fraction form
    3,699,561,968/8,632,609,582 = 8,632,609,582/x
  3. Step 3: Cross multiply
    3,699,561,968x = 8,632,609,582 × 8,632,609,582
  4. Step 4: Simplify right side
    3,699,561,968x = 74,521,948,195,238,215,680
  5. Step 5: Solve for x
    x = 74,521,948,195,238,215,680/3,699,561,968
  6. Step 6: Final answer
    x = 20,143,451,803.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.