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Finding the Third Proportional to 11,943,148 and 18,013,704

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Solution

The third proportional to 11,943,148 and 18,013,704 is: 27,169,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943,148 : 18,013,704 = 18,013,704 : x
  2. Step 2: Convert to fraction form
    11,943,148/18,013,704 = 18,013,704/x
  3. Step 3: Cross multiply
    11,943,148x = 18,013,704 × 18,013,704
  4. Step 4: Simplify right side
    11,943,148x = 324,493,531,799,616
  5. Step 5: Solve for x
    x = 324,493,531,799,616/11,943,148
  6. Step 6: Final answer
    x = 27,169,849.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.