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Finding the Third Proportional to 3,507,988.50 and 5,247,678.66

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Solution

The third proportional to 3,507,988.50 and 5,247,678.66 is: 7,850,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507,988.50 : 5,247,678.66 = 5,247,678.66 : x
  2. Step 2: Convert to fraction form
    3,507,988.50/5,247,678.66 = 5,247,678.66/x
  3. Step 3: Cross multiply
    3,507,988.50x = 5,247,678.66 × 5,247,678.66
  4. Step 4: Simplify right side
    3,507,988.50x = 27,538,131,279,261.80
  5. Step 5: Solve for x
    x = 27,538,131,279,261.80/3,507,988.50
  6. Step 6: Final answer
    x = 7,850,120.17

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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.