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Finding the Third Proportional to 627,569,265 and 1,368,136,323

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Solution

The third proportional to 627,569,265 and 1,368,136,323 is: 2,982,614,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,569,265 : 1,368,136,323 = 1,368,136,323 : x
  2. Step 2: Convert to fraction form
    627,569,265/1,368,136,323 = 1,368,136,323/x
  3. Step 3: Cross multiply
    627,569,265x = 1,368,136,323 × 1,368,136,323
  4. Step 4: Simplify right side
    627,569,265x = 1,871,796,998,311,960,320
  5. Step 5: Solve for x
    x = 1,871,796,998,311,960,320/627,569,265
  6. Step 6: Final answer
    x = 2,982,614,195.28

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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.