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Finding the Third Proportional to 2,645,843 and 5,609,613

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Solution

The third proportional to 2,645,843 and 5,609,613 is: 11,893,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645,843 : 5,609,613 = 5,609,613 : x
  2. Step 2: Convert to fraction form
    2,645,843/5,609,613 = 5,609,613/x
  3. Step 3: Cross multiply
    2,645,843x = 5,609,613 × 5,609,613
  4. Step 4: Simplify right side
    2,645,843x = 31,467,758,009,769
  5. Step 5: Solve for x
    x = 31,467,758,009,769/2,645,843
  6. Step 6: Final answer
    x = 11,893,282.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.