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Finding the Third Proportional to 200,012,604 and 300,551,406

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Solution

The third proportional to 200,012,604 and 300,551,406 is: 451,627,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012,604 : 300,551,406 = 300,551,406 : x
  2. Step 2: Convert to fraction form
    200,012,604/300,551,406 = 300,551,406/x
  3. Step 3: Cross multiply
    200,012,604x = 300,551,406 × 300,551,406
  4. Step 4: Simplify right side
    200,012,604x = 90,331,147,648,576,832
  5. Step 5: Solve for x
    x = 90,331,147,648,576,832/200,012,604
  6. Step 6: Final answer
    x = 451,627,276.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.