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Finding the Third Proportional to 4,621,030 and 10,304,584

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Solution

The third proportional to 4,621,030 and 10,304,584 is: 22,978,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621,030 : 10,304,584 = 10,304,584 : x
  2. Step 2: Convert to fraction form
    4,621,030/10,304,584 = 10,304,584/x
  3. Step 3: Cross multiply
    4,621,030x = 10,304,584 × 10,304,584
  4. Step 4: Simplify right side
    4,621,030x = 106,184,451,413,056
  5. Step 5: Solve for x
    x = 106,184,451,413,056/4,621,030
  6. Step 6: Final answer
    x = 22,978,524.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.