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Finding the Third Proportional to 6,308,685 and 13,680,252

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Solution

The third proportional to 6,308,685 and 13,680,252 is: 29,665,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308,685 : 13,680,252 = 13,680,252 : x
  2. Step 2: Convert to fraction form
    6,308,685/13,680,252 = 13,680,252/x
  3. Step 3: Cross multiply
    6,308,685x = 13,680,252 × 13,680,252
  4. Step 4: Simplify right side
    6,308,685x = 187,149,294,783,504
  5. Step 5: Solve for x
    x = 187,149,294,783,504/6,308,685
  6. Step 6: Final answer
    x = 29,665,341.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.