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Finding the Third Proportional to 4,620,952 and 10,304,412

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Solution

The third proportional to 4,620,952 and 10,304,412 is: 22,978,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620,952 : 10,304,412 = 10,304,412 : x
  2. Step 2: Convert to fraction form
    4,620,952/10,304,412 = 10,304,412/x
  3. Step 3: Cross multiply
    4,620,952x = 10,304,412 × 10,304,412
  4. Step 4: Simplify right side
    4,620,952x = 106,180,906,665,744
  5. Step 5: Solve for x
    x = 106,180,906,665,744/4,620,952
  6. Step 6: Final answer
    x = 22,978,145.34

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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.