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Finding the Third Proportional to 3,645,940.50 and 7,857,114

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Solution

The third proportional to 3,645,940.50 and 7,857,114 is: 16,932,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,940.50 : 7,857,114 = 7,857,114 : x
  2. Step 2: Convert to fraction form
    3,645,940.50/7,857,114 = 7,857,114/x
  3. Step 3: Cross multiply
    3,645,940.50x = 7,857,114 × 7,857,114
  4. Step 4: Simplify right side
    3,645,940.50x = 61,734,240,408,996
  5. Step 5: Solve for x
    x = 61,734,240,408,996/3,645,940.50
  6. Step 6: Final answer
    x = 16,932,322.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.