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Finding the Third Proportional to 10,664,514 and 15,198,651

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Solution

The third proportional to 10,664,514 and 15,198,651 is: 21,660,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664,514 : 15,198,651 = 15,198,651 : x
  2. Step 2: Convert to fraction form
    10,664,514/15,198,651 = 15,198,651/x
  3. Step 3: Cross multiply
    10,664,514x = 15,198,651 × 15,198,651
  4. Step 4: Simplify right side
    10,664,514x = 230,998,992,219,801
  5. Step 5: Solve for x
    x = 230,998,992,219,801/10,664,514
  6. Step 6: Final answer
    x = 21,660,526.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.