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Finding the Third Proportional to 7,575,021 and 11,753,306

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Solution

The third proportional to 7,575,021 and 11,753,306 is: 18,236,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575,021 : 11,753,306 = 11,753,306 : x
  2. Step 2: Convert to fraction form
    7,575,021/11,753,306 = 11,753,306/x
  3. Step 3: Cross multiply
    7,575,021x = 11,753,306 × 11,753,306
  4. Step 4: Simplify right side
    7,575,021x = 138,140,201,929,636
  5. Step 5: Solve for x
    x = 138,140,201,929,636/7,575,021
  6. Step 6: Final answer
    x = 18,236,279.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.