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Finding the Third Proportional to 12,675,842 and 27,371,652

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Solution

The third proportional to 12,675,842 and 27,371,652 is: 59,105,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675,842 : 27,371,652 = 27,371,652 : x
  2. Step 2: Convert to fraction form
    12,675,842/27,371,652 = 27,371,652/x
  3. Step 3: Cross multiply
    12,675,842x = 27,371,652 × 27,371,652
  4. Step 4: Simplify right side
    12,675,842x = 749,207,333,209,104
  5. Step 5: Solve for x
    x = 749,207,333,209,104/12,675,842
  6. Step 6: Final answer
    x = 59,105,133.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.