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Finding the Third Proportional to 304,542,732 and 451,283,577

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Solution

The third proportional to 304,542,732 and 451,283,577 is: 668,730,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,542,732 : 451,283,577 = 451,283,577 : x
  2. Step 2: Convert to fraction form
    304,542,732/451,283,577 = 451,283,577/x
  3. Step 3: Cross multiply
    304,542,732x = 451,283,577 × 451,283,577
  4. Step 4: Simplify right side
    304,542,732x = 203,656,866,869,914,944
  5. Step 5: Solve for x
    x = 203,656,866,869,914,944/304,542,732
  6. Step 6: Final answer
    x = 668,730,018.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.