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Finding the Third Proportional to 627,773,146 and 1,033,694,147

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Solution

The third proportional to 627,773,146 and 1,033,694,147 is: 1,702,085,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,773,146 : 1,033,694,147 = 1,033,694,147 : x
  2. Step 2: Convert to fraction form
    627,773,146/1,033,694,147 = 1,033,694,147/x
  3. Step 3: Cross multiply
    627,773,146x = 1,033,694,147 × 1,033,694,147
  4. Step 4: Simplify right side
    627,773,146x = 1,068,523,589,542,057,600
  5. Step 5: Solve for x
    x = 1,068,523,589,542,057,600/627,773,146
  6. Step 6: Final answer
    x = 1,702,085,532.57

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.