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Finding the Third Proportional to 9,025,945 and 14,303,784

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Solution

The third proportional to 9,025,945 and 14,303,784 is: 22,667,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025,945 : 14,303,784 = 14,303,784 : x
  2. Step 2: Convert to fraction form
    9,025,945/14,303,784 = 14,303,784/x
  3. Step 3: Cross multiply
    9,025,945x = 14,303,784 × 14,303,784
  4. Step 4: Simplify right side
    9,025,945x = 204,598,236,718,656
  5. Step 5: Solve for x
    x = 204,598,236,718,656/9,025,945
  6. Step 6: Final answer
    x = 22,667,791.21

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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.