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Finding the Third Proportional to 10,827,412 and 15,233,958

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Solution

The third proportional to 10,827,412 and 15,233,958 is: 21,433,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827,412 : 15,233,958 = 15,233,958 : x
  2. Step 2: Convert to fraction form
    10,827,412/15,233,958 = 15,233,958/x
  3. Step 3: Cross multiply
    10,827,412x = 15,233,958 × 15,233,958
  4. Step 4: Simplify right side
    10,827,412x = 232,073,476,345,764
  5. Step 5: Solve for x
    x = 232,073,476,345,764/10,827,412
  6. Step 6: Final answer
    x = 21,433,882.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.