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Finding the Third Proportional to 4,993,740 and 10,774,152

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Solution

The third proportional to 4,993,740 and 10,774,152 is: 23,245,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993,740 : 10,774,152 = 10,774,152 : x
  2. Step 2: Convert to fraction form
    4,993,740/10,774,152 = 10,774,152/x
  3. Step 3: Cross multiply
    4,993,740x = 10,774,152 × 10,774,152
  4. Step 4: Simplify right side
    4,993,740x = 116,082,351,319,104
  5. Step 5: Solve for x
    x = 116,082,351,319,104/4,993,740
  6. Step 6: Final answer
    x = 23,245,573.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.