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Finding the Third Proportional to 3,241,830 and 7,054,476

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Solution

The third proportional to 3,241,830 and 7,054,476 is: 15,351,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241,830 : 7,054,476 = 7,054,476 : x
  2. Step 2: Convert to fraction form
    3,241,830/7,054,476 = 7,054,476/x
  3. Step 3: Cross multiply
    3,241,830x = 7,054,476 × 7,054,476
  4. Step 4: Simplify right side
    3,241,830x = 49,765,631,634,576
  5. Step 5: Solve for x
    x = 49,765,631,634,576/3,241,830
  6. Step 6: Final answer
    x = 15,351,092.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.