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Finding the Third Proportional to 3,678,989.63 and 5,266,250.44

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Solution

The third proportional to 3,678,989.63 and 5,266,250.44 is: 7,538,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678,989.63 : 5,266,250.44 = 5,266,250.44 : x
  2. Step 2: Convert to fraction form
    3,678,989.63/5,266,250.44 = 5,266,250.44/x
  3. Step 3: Cross multiply
    3,678,989.63x = 5,266,250.44 × 5,266,250.44
  4. Step 4: Simplify right side
    3,678,989.63x = 27,733,393,670,468.94
  5. Step 5: Solve for x
    x = 27,733,393,670,468.94/3,678,989.63
  6. Step 6: Final answer
    x = 7,538,317.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.