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Finding the Third Proportional to 11,385,069 and 17,609,613

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Solution

The third proportional to 11,385,069 and 17,609,613 is: 27,237,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385,069 : 17,609,613 = 17,609,613 : x
  2. Step 2: Convert to fraction form
    11,385,069/17,609,613 = 17,609,613/x
  3. Step 3: Cross multiply
    11,385,069x = 17,609,613 × 17,609,613
  4. Step 4: Simplify right side
    11,385,069x = 310,098,470,009,769
  5. Step 5: Solve for x
    x = 310,098,470,009,769/11,385,069
  6. Step 6: Final answer
    x = 27,237,293.86

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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.