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Finding the Third Proportional to 442,179,637 and 946,474,996

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Solution

The third proportional to 442,179,637 and 946,474,996 is: 2,025,907,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179,637 : 946,474,996 = 946,474,996 : x
  2. Step 2: Convert to fraction form
    442,179,637/946,474,996 = 946,474,996/x
  3. Step 3: Cross multiply
    442,179,637x = 946,474,996 × 946,474,996
  4. Step 4: Simplify right side
    442,179,637x = 895,814,918,053,200,000
  5. Step 5: Solve for x
    x = 895,814,918,053,200,000/442,179,637
  6. Step 6: Final answer
    x = 2,025,907,217.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.