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Finding the Third Proportional to 3,507,996.38 and 5,247,689.63

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Solution

The third proportional to 3,507,996.38 and 5,247,689.63 is: 7,850,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507,996.38 : 5,247,689.63 = 5,247,689.63 : x
  2. Step 2: Convert to fraction form
    3,507,996.38/5,247,689.63 = 5,247,689.63/x
  3. Step 3: Cross multiply
    3,507,996.38x = 5,247,689.63 × 5,247,689.63
  4. Step 4: Simplify right side
    3,507,996.38x = 27,538,246,400,332.64
  5. Step 5: Solve for x
    x = 27,538,246,400,332.64/3,507,996.38
  6. Step 6: Final answer
    x = 7,850,135.36

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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.