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Finding the Third Proportional to 12,567,703 and 27,374,822

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Solution

The third proportional to 12,567,703 and 27,374,822 is: 59,627,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,703 : 27,374,822 = 27,374,822 : x
  2. Step 2: Convert to fraction form
    12,567,703/27,374,822 = 27,374,822/x
  3. Step 3: Cross multiply
    12,567,703x = 27,374,822 × 27,374,822
  4. Step 4: Simplify right side
    12,567,703x = 749,380,879,531,684
  5. Step 5: Solve for x
    x = 749,380,879,531,684/12,567,703
  6. Step 6: Final answer
    x = 59,627,513.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.