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Finding the Third Proportional to 6,747,157 and 14,692,302

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Solution

The third proportional to 6,747,157 and 14,692,302 is: 31,993,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747,157 : 14,692,302 = 14,692,302 : x
  2. Step 2: Convert to fraction form
    6,747,157/14,692,302 = 14,692,302/x
  3. Step 3: Cross multiply
    6,747,157x = 14,692,302 × 14,692,302
  4. Step 4: Simplify right side
    6,747,157x = 215,863,738,059,204
  5. Step 5: Solve for x
    x = 215,863,738,059,204/6,747,157
  6. Step 6: Final answer
    x = 31,993,288.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.