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Finding the Third Proportional to 627,569,186 and 1,368,136,138

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Solution

The third proportional to 627,569,186 and 1,368,136,138 is: 2,982,613,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,569,186 : 1,368,136,138 = 1,368,136,138 : x
  2. Step 2: Convert to fraction form
    627,569,186/1,368,136,138 = 1,368,136,138/x
  3. Step 3: Cross multiply
    627,569,186x = 1,368,136,138 × 1,368,136,138
  4. Step 4: Simplify right side
    627,569,186x = 1,871,796,492,101,554,944
  5. Step 5: Solve for x
    x = 1,871,796,492,101,554,944/627,569,186
  6. Step 6: Final answer
    x = 2,982,613,764.12

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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.