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Finding the Third Proportional to 4,648,185 and 7,105,436.44

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Solution

The third proportional to 4,648,185 and 7,105,436.44 is: 10,861,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,185 : 7,105,436.44 = 7,105,436.44 : x
  2. Step 2: Convert to fraction form
    4,648,185/7,105,436.44 = 7,105,436.44/x
  3. Step 3: Cross multiply
    4,648,185x = 7,105,436.44 × 7,105,436.44
  4. Step 4: Simplify right side
    4,648,185x = 50,487,226,967,352.69
  5. Step 5: Solve for x
    x = 50,487,226,967,352.69/4,648,185
  6. Step 6: Final answer
    x = 10,861,707.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.