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Finding the Third Proportional to 9,025,947 and 14,303,787

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Solution

The third proportional to 9,025,947 and 14,303,787 is: 22,667,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025,947 : 14,303,787 = 14,303,787 : x
  2. Step 2: Convert to fraction form
    9,025,947/14,303,787 = 14,303,787/x
  3. Step 3: Cross multiply
    9,025,947x = 14,303,787 × 14,303,787
  4. Step 4: Simplify right side
    9,025,947x = 204,598,322,541,369
  5. Step 5: Solve for x
    x = 204,598,322,541,369/9,025,947
  6. Step 6: Final answer
    x = 22,667,795.69

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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.