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Finding the Third Proportional to 5,289,966 and 7,449,446.50

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Solution

The third proportional to 5,289,966 and 7,449,446.50 is: 10,490,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289,966 : 7,449,446.50 = 7,449,446.50 : x
  2. Step 2: Convert to fraction form
    5,289,966/7,449,446.50 = 7,449,446.50/x
  3. Step 3: Cross multiply
    5,289,966x = 7,449,446.50 × 7,449,446.50
  4. Step 4: Simplify right side
    5,289,966x = 55,494,253,156,362.25
  5. Step 5: Solve for x
    x = 55,494,253,156,362.25/5,289,966
  6. Step 6: Final answer
    x = 10,490,474.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.