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Finding the Third Proportional to 27,450,692 and 36,596,622

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Solution

The third proportional to 27,450,692 and 36,596,622 is: 48,789,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450,692 : 36,596,622 = 36,596,622 : x
  2. Step 2: Convert to fraction form
    27,450,692/36,596,622 = 36,596,622/x
  3. Step 3: Cross multiply
    27,450,692x = 36,596,622 × 36,596,622
  4. Step 4: Simplify right side
    27,450,692x = 1,339,312,741,810,884
  5. Step 5: Solve for x
    x = 1,339,312,741,810,884/27,450,692
  6. Step 6: Final answer
    x = 48,789,762.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.