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Finding the Third Proportional to 6,543,954 and 13,689,252

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Solution

The third proportional to 6,543,954 and 13,689,252 is: 28,636,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,954 : 13,689,252 = 13,689,252 : x
  2. Step 2: Convert to fraction form
    6,543,954/13,689,252 = 13,689,252/x
  3. Step 3: Cross multiply
    6,543,954x = 13,689,252 × 13,689,252
  4. Step 4: Simplify right side
    6,543,954x = 187,395,620,319,504
  5. Step 5: Solve for x
    x = 187,395,620,319,504/6,543,954
  6. Step 6: Final answer
    x = 28,636,451.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.