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Finding the Third Proportional to 27,078,376.50 and 57,145,653

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Solution

The third proportional to 27,078,376.50 and 57,145,653 is: 120,599,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078,376.50 : 57,145,653 = 57,145,653 : x
  2. Step 2: Convert to fraction form
    27,078,376.50/57,145,653 = 57,145,653/x
  3. Step 3: Cross multiply
    27,078,376.50x = 57,145,653 × 57,145,653
  4. Step 4: Simplify right side
    27,078,376.50x = 3,265,625,656,796,409
  5. Step 5: Solve for x
    x = 3,265,625,656,796,409/27,078,376.50
  6. Step 6: Final answer
    x = 120,599,019.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.