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Finding the Third Proportional to 19,817,125 and 27,907,003

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Solution

The third proportional to 19,817,125 and 27,907,003 is: 39,299,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817,125 : 27,907,003 = 27,907,003 : x
  2. Step 2: Convert to fraction form
    19,817,125/27,907,003 = 27,907,003/x
  3. Step 3: Cross multiply
    19,817,125x = 27,907,003 × 27,907,003
  4. Step 4: Simplify right side
    19,817,125x = 778,800,816,442,009
  5. Step 5: Solve for x
    x = 778,800,816,442,009/19,817,125
  6. Step 6: Final answer
    x = 39,299,384.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.