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Finding the Third Proportional to 9,025,949 and 14,303,790

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Solution

The third proportional to 9,025,949 and 14,303,790 is: 22,667,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025,949 : 14,303,790 = 14,303,790 : x
  2. Step 2: Convert to fraction form
    9,025,949/14,303,790 = 14,303,790/x
  3. Step 3: Cross multiply
    9,025,949x = 14,303,790 × 14,303,790
  4. Step 4: Simplify right side
    9,025,949x = 204,598,408,364,100
  5. Step 5: Solve for x
    x = 204,598,408,364,100/9,025,949
  6. Step 6: Final answer
    x = 22,667,800.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.