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Finding the Third Proportional to 2,652,861.38 and 5,729,302.13

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Solution

The third proportional to 2,652,861.38 and 5,729,302.13 is: 12,373,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,861.38 : 5,729,302.13 = 5,729,302.13 : x
  2. Step 2: Convert to fraction form
    2,652,861.38/5,729,302.13 = 5,729,302.13/x
  3. Step 3: Cross multiply
    2,652,861.38x = 5,729,302.13 × 5,729,302.13
  4. Step 4: Simplify right side
    2,652,861.38x = 32,824,902,839,529.52
  5. Step 5: Solve for x
    x = 32,824,902,839,529.52/2,652,861.38
  6. Step 6: Final answer
    x = 12,373,395.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.