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Finding the Third Proportional to 13,781,106.75 and 18,727,407.75

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Solution

The third proportional to 13,781,106.75 and 18,727,407.75 is: 25,449,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781,106.75 : 18,727,407.75 = 18,727,407.75 : x
  2. Step 2: Convert to fraction form
    13,781,106.75/18,727,407.75 = 18,727,407.75/x
  3. Step 3: Cross multiply
    13,781,106.75x = 18,727,407.75 × 18,727,407.75
  4. Step 4: Simplify right side
    13,781,106.75x = 350,715,801,034,760.06
  5. Step 5: Solve for x
    x = 350,715,801,034,760.06/13,781,106.75
  6. Step 6: Final answer
    x = 25,449,030.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.