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Finding the Third Proportional to 9,271,947 and 18,805,923

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Solution

The third proportional to 9,271,947 and 18,805,923 is: 38,143,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271,947 : 18,805,923 = 18,805,923 : x
  2. Step 2: Convert to fraction form
    9,271,947/18,805,923 = 18,805,923/x
  3. Step 3: Cross multiply
    9,271,947x = 18,805,923 × 18,805,923
  4. Step 4: Simplify right side
    9,271,947x = 353,662,739,881,929
  5. Step 5: Solve for x
    x = 353,662,739,881,929/9,271,947
  6. Step 6: Final answer
    x = 38,143,309.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.