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Finding the Third Proportional to 12,954,233.25 and 27,702,078.75

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Solution

The third proportional to 12,954,233.25 and 27,702,078.75 is: 59,239,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954,233.25 : 27,702,078.75 = 27,702,078.75 : x
  2. Step 2: Convert to fraction form
    12,954,233.25/27,702,078.75 = 27,702,078.75/x
  3. Step 3: Cross multiply
    12,954,233.25x = 27,702,078.75 × 27,702,078.75
  4. Step 4: Simplify right side
    12,954,233.25x = 767,405,167,071,201.50
  5. Step 5: Solve for x
    x = 767,405,167,071,201.50/12,954,233.25
  6. Step 6: Final answer
    x = 59,239,721.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.