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Finding the Third Proportional to 9,040,731 and 13,645,172.25

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Solution

The third proportional to 9,040,731 and 13,645,172.25 is: 20,594,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040,731 : 13,645,172.25 = 13,645,172.25 : x
  2. Step 2: Convert to fraction form
    9,040,731/13,645,172.25 = 13,645,172.25/x
  3. Step 3: Cross multiply
    9,040,731x = 13,645,172.25 × 13,645,172.25
  4. Step 4: Simplify right side
    9,040,731x = 186,190,725,732,170.06
  5. Step 5: Solve for x
    x = 186,190,725,732,170.06/9,040,731
  6. Step 6: Final answer
    x = 20,594,653.88

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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.