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Finding the Third Proportional to 6,508,715 and 13,996,966

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Solution

The third proportional to 6,508,715 and 13,996,966 is: 30,100,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,715 : 13,996,966 = 13,996,966 : x
  2. Step 2: Convert to fraction form
    6,508,715/13,996,966 = 13,996,966/x
  3. Step 3: Cross multiply
    6,508,715x = 13,996,966 × 13,996,966
  4. Step 4: Simplify right side
    6,508,715x = 195,915,057,205,156
  5. Step 5: Solve for x
    x = 195,915,057,205,156/6,508,715
  6. Step 6: Final answer
    x = 30,100,420.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.