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Finding the Third Proportional to 9,743,540 and 13,622,124

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Solution

The third proportional to 9,743,540 and 13,622,124 is: 19,044,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743,540 : 13,622,124 = 13,622,124 : x
  2. Step 2: Convert to fraction form
    9,743,540/13,622,124 = 13,622,124/x
  3. Step 3: Cross multiply
    9,743,540x = 13,622,124 × 13,622,124
  4. Step 4: Simplify right side
    9,743,540x = 185,562,262,271,376
  5. Step 5: Solve for x
    x = 185,562,262,271,376/9,743,540
  6. Step 6: Final answer
    x = 19,044,645.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.