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Finding the Third Proportional to 6,981,562.13 and 10,848,507.19

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Solution

The third proportional to 6,981,562.13 and 10,848,507.19 is: 16,857,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981,562.13 : 10,848,507.19 = 10,848,507.19 : x
  2. Step 2: Convert to fraction form
    6,981,562.13/10,848,507.19 = 10,848,507.19/x
  3. Step 3: Cross multiply
    6,981,562.13x = 10,848,507.19 × 10,848,507.19
  4. Step 4: Simplify right side
    6,981,562.13x = 117,690,108,197,239.16
  5. Step 5: Solve for x
    x = 117,690,108,197,239.16/6,981,562.13
  6. Step 6: Final answer
    x = 16,857,274.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.