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Finding the Third Proportional to 7,371,682 and 11,538,796

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Solution

The third proportional to 7,371,682 and 11,538,796 is: 18,061,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371,682 : 11,538,796 = 11,538,796 : x
  2. Step 2: Convert to fraction form
    7,371,682/11,538,796 = 11,538,796/x
  3. Step 3: Cross multiply
    7,371,682x = 11,538,796 × 11,538,796
  4. Step 4: Simplify right side
    7,371,682x = 133,143,813,129,616
  5. Step 5: Solve for x
    x = 133,143,813,129,616/7,371,682
  6. Step 6: Final answer
    x = 18,061,524.24

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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.