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Finding the Third Proportional to 11,577,294.56 and 15,874,658.44

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Solution

The third proportional to 11,577,294.56 and 15,874,658.44 is: 21,767,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577,294.56 : 15,874,658.44 = 15,874,658.44 : x
  2. Step 2: Convert to fraction form
    11,577,294.56/15,874,658.44 = 15,874,658.44/x
  3. Step 3: Cross multiply
    11,577,294.56x = 15,874,658.44 × 15,874,658.44
  4. Step 4: Simplify right side
    11,577,294.56x = 252,004,780,507,289.94
  5. Step 5: Solve for x
    x = 252,004,780,507,289.94/11,577,294.56
  6. Step 6: Final answer
    x = 21,767,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.