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Finding the Third Proportional to 3,686,283.42 and 5,529,427.03

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Solution

The third proportional to 3,686,283.42 and 5,529,427.03 is: 8,294,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,283.42 : 5,529,427.03 = 5,529,427.03 : x
  2. Step 2: Convert to fraction form
    3,686,283.42/5,529,427.03 = 5,529,427.03/x
  3. Step 3: Cross multiply
    3,686,283.42x = 5,529,427.03 × 5,529,427.03
  4. Step 4: Simplify right side
    3,686,283.42x = 30,574,563,293,918.19
  5. Step 5: Solve for x
    x = 30,574,563,293,918.19/3,686,283.42
  6. Step 6: Final answer
    x = 8,294,143.39

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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.