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Finding the Third Proportional to 3,686,264.23 and 5,529,396.87

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Solution

The third proportional to 3,686,264.23 and 5,529,396.87 is: 8,294,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,264.23 : 5,529,396.87 = 5,529,396.87 : x
  2. Step 2: Convert to fraction form
    3,686,264.23/5,529,396.87 = 5,529,396.87/x
  3. Step 3: Cross multiply
    3,686,264.23x = 5,529,396.87 × 5,529,396.87
  4. Step 4: Simplify right side
    3,686,264.23x = 30,574,229,714,862.94
  5. Step 5: Solve for x
    x = 30,574,229,714,862.94/3,686,264.23
  6. Step 6: Final answer
    x = 8,294,096.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.