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Finding the Third Proportional to 4,123,491.75 and 8,529,835.50

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Solution

The third proportional to 4,123,491.75 and 8,529,835.50 is: 17,644,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123,491.75 : 8,529,835.50 = 8,529,835.50 : x
  2. Step 2: Convert to fraction form
    4,123,491.75/8,529,835.50 = 8,529,835.50/x
  3. Step 3: Cross multiply
    4,123,491.75x = 8,529,835.50 × 8,529,835.50
  4. Step 4: Simplify right side
    4,123,491.75x = 72,758,093,657,060.25
  5. Step 5: Solve for x
    x = 72,758,093,657,060.25/4,123,491.75
  6. Step 6: Final answer
    x = 17,644,777.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.