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Finding the Third Proportional to 13,863,009.75 and 30,913,578.75

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Solution

The third proportional to 13,863,009.75 and 30,913,578.75 is: 68,935,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863,009.75 : 30,913,578.75 = 30,913,578.75 : x
  2. Step 2: Convert to fraction form
    13,863,009.75/30,913,578.75 = 30,913,578.75/x
  3. Step 3: Cross multiply
    13,863,009.75x = 30,913,578.75 × 30,913,578.75
  4. Step 4: Simplify right side
    13,863,009.75x = 955,649,351,132,451.50
  5. Step 5: Solve for x
    x = 955,649,351,132,451.50/13,863,009.75
  6. Step 6: Final answer
    x = 68,935,200.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.