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Finding the Third Proportional to 48,766,576 and 66,872,256

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Solution

The third proportional to 48,766,576 and 66,872,256 is: 91,700,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,766,576 : 66,872,256 = 66,872,256 : x
  2. Step 2: Convert to fraction form
    48,766,576/66,872,256 = 66,872,256/x
  3. Step 3: Cross multiply
    48,766,576x = 66,872,256 × 66,872,256
  4. Step 4: Simplify right side
    48,766,576x = 4,471,898,622,529,536
  5. Step 5: Solve for x
    x = 4,471,898,622,529,536/48,766,576
  6. Step 6: Final answer
    x = 91,700,073.89

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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.