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Finding the Third Proportional to 12,125,573 and 18,314,243.50

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Solution

The third proportional to 12,125,573 and 18,314,243.50 is: 27,661,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125,573 : 18,314,243.50 = 18,314,243.50 : x
  2. Step 2: Convert to fraction form
    12,125,573/18,314,243.50 = 18,314,243.50/x
  3. Step 3: Cross multiply
    12,125,573x = 18,314,243.50 × 18,314,243.50
  4. Step 4: Simplify right side
    12,125,573x = 335,411,514,977,292.25
  5. Step 5: Solve for x
    x = 335,411,514,977,292.25/12,125,573
  6. Step 6: Final answer
    x = 27,661,498.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.