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Finding the Third Proportional to 10,642,093 and 16,228,853

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Solution

The third proportional to 10,642,093 and 16,228,853 is: 24,748,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,093 : 16,228,853 = 16,228,853 : x
  2. Step 2: Convert to fraction form
    10,642,093/16,228,853 = 16,228,853/x
  3. Step 3: Cross multiply
    10,642,093x = 16,228,853 × 16,228,853
  4. Step 4: Simplify right side
    10,642,093x = 263,375,669,695,609
  5. Step 5: Solve for x
    x = 263,375,669,695,609/10,642,093
  6. Step 6: Final answer
    x = 24,748,484.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.