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Finding the Third Proportional to 11,837,356.50 and 27,657,405

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Solution

The third proportional to 11,837,356.50 and 27,657,405 is: 64,620,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837,356.50 : 27,657,405 = 27,657,405 : x
  2. Step 2: Convert to fraction form
    11,837,356.50/27,657,405 = 27,657,405/x
  3. Step 3: Cross multiply
    11,837,356.50x = 27,657,405 × 27,657,405
  4. Step 4: Simplify right side
    11,837,356.50x = 764,932,051,334,025
  5. Step 5: Solve for x
    x = 764,932,051,334,025/11,837,356.50
  6. Step 6: Final answer
    x = 64,620,175.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.