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Finding the Third Proportional to 7,285,162 and 10,691,547

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Solution

The third proportional to 7,285,162 and 10,691,547 is: 15,690,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285,162 : 10,691,547 = 10,691,547 : x
  2. Step 2: Convert to fraction form
    7,285,162/10,691,547 = 10,691,547/x
  3. Step 3: Cross multiply
    7,285,162x = 10,691,547 × 10,691,547
  4. Step 4: Simplify right side
    7,285,162x = 114,309,177,253,209
  5. Step 5: Solve for x
    x = 114,309,177,253,209/7,285,162
  6. Step 6: Final answer
    x = 15,690,684.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.