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Finding the Third Proportional to 10,955,648.25 and 17,096,707.13

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Solution

The third proportional to 10,955,648.25 and 17,096,707.13 is: 26,680,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955,648.25 : 17,096,707.13 = 17,096,707.13 : x
  2. Step 2: Convert to fraction form
    10,955,648.25/17,096,707.13 = 17,096,707.13/x
  3. Step 3: Cross multiply
    10,955,648.25x = 17,096,707.13 × 17,096,707.13
  4. Step 4: Simplify right side
    10,955,648.25x = 292,297,394,518,025.75
  5. Step 5: Solve for x
    x = 292,297,394,518,025.75/10,955,648.25
  6. Step 6: Final answer
    x = 26,680,063.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.