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Finding the Third Proportional to 7,745,162 and 16,833,634

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Solution

The third proportional to 7,745,162 and 16,833,634 is: 36,586,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745,162 : 16,833,634 = 16,833,634 : x
  2. Step 2: Convert to fraction form
    7,745,162/16,833,634 = 16,833,634/x
  3. Step 3: Cross multiply
    7,745,162x = 16,833,634 × 16,833,634
  4. Step 4: Simplify right side
    7,745,162x = 283,371,233,645,956
  5. Step 5: Solve for x
    x = 283,371,233,645,956/7,745,162
  6. Step 6: Final answer
    x = 36,586,869.80

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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.