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Finding the Third Proportional to 12,675,160 and 27,370,836

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Solution

The third proportional to 12,675,160 and 27,370,836 is: 59,104,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675,160 : 27,370,836 = 27,370,836 : x
  2. Step 2: Convert to fraction form
    12,675,160/27,370,836 = 27,370,836/x
  3. Step 3: Cross multiply
    12,675,160x = 27,370,836 × 27,370,836
  4. Step 4: Simplify right side
    12,675,160x = 749,162,663,338,896
  5. Step 5: Solve for x
    x = 749,162,663,338,896/12,675,160
  6. Step 6: Final answer
    x = 59,104,789.47

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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.