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Finding the Third Proportional to 10,739,934 and 16,265,889

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Solution

The third proportional to 10,739,934 and 16,265,889 is: 24,635,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739,934 : 16,265,889 = 16,265,889 : x
  2. Step 2: Convert to fraction form
    10,739,934/16,265,889 = 16,265,889/x
  3. Step 3: Cross multiply
    10,739,934x = 16,265,889 × 16,265,889
  4. Step 4: Simplify right side
    10,739,934x = 264,579,144,960,321
  5. Step 5: Solve for x
    x = 264,579,144,960,321/10,739,934
  6. Step 6: Final answer
    x = 24,635,081.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.