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Finding the Third Proportional to 18,286,684 and 24,907,324

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Solution

The third proportional to 18,286,684 and 24,907,324 is: 33,924,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286,684 : 24,907,324 = 24,907,324 : x
  2. Step 2: Convert to fraction form
    18,286,684/24,907,324 = 24,907,324/x
  3. Step 3: Cross multiply
    18,286,684x = 24,907,324 × 24,907,324
  4. Step 4: Simplify right side
    18,286,684x = 620,374,788,840,976
  5. Step 5: Solve for x
    x = 620,374,788,840,976/18,286,684
  6. Step 6: Final answer
    x = 33,924,947.18

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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.