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Finding the Third Proportional to 4,632,507 and 7,181,675

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Solution

The third proportional to 4,632,507 and 7,181,675 is: 11,133,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632,507 : 7,181,675 = 7,181,675 : x
  2. Step 2: Convert to fraction form
    4,632,507/7,181,675 = 7,181,675/x
  3. Step 3: Cross multiply
    4,632,507x = 7,181,675 × 7,181,675
  4. Step 4: Simplify right side
    4,632,507x = 51,576,455,805,625
  5. Step 5: Solve for x
    x = 51,576,455,805,625/4,632,507
  6. Step 6: Final answer
    x = 11,133,594.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.