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Finding the Third Proportional to 627,569,213 and 1,368,136,228

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Solution

The third proportional to 627,569,213 and 1,368,136,228 is: 2,982,614,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,569,213 : 1,368,136,228 = 1,368,136,228 : x
  2. Step 2: Convert to fraction form
    627,569,213/1,368,136,228 = 1,368,136,228/x
  3. Step 3: Cross multiply
    627,569,213x = 1,368,136,228 × 1,368,136,228
  4. Step 4: Simplify right side
    627,569,213x = 1,871,796,738,366,067,968
  5. Step 5: Solve for x
    x = 1,871,796,738,366,067,968/627,569,213
  6. Step 6: Final answer
    x = 2,982,614,028.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.