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Finding the Third Proportional to 7,285,068 and 10,691,406

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Solution

The third proportional to 7,285,068 and 10,691,406 is: 15,690,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285,068 : 10,691,406 = 10,691,406 : x
  2. Step 2: Convert to fraction form
    7,285,068/10,691,406 = 10,691,406/x
  3. Step 3: Cross multiply
    7,285,068x = 10,691,406 × 10,691,406
  4. Step 4: Simplify right side
    7,285,068x = 114,306,162,256,836
  5. Step 5: Solve for x
    x = 114,306,162,256,836/7,285,068
  6. Step 6: Final answer
    x = 15,690,472.93

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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.