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Finding the Third Proportional to 315,055,676,195 and 677,895,363,382

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Solution

The third proportional to 315,055,676,195 and 677,895,363,382 is: 1,458,606,076,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,055,676,195 : 677,895,363,382 = 677,895,363,382 : x
  2. Step 2: Convert to fraction form
    315,055,676,195/677,895,363,382 = 677,895,363,382/x
  3. Step 3: Cross multiply
    315,055,676,195x = 677,895,363,382 × 677,895,363,382
  4. Step 4: Simplify right side
    315,055,676,195x = 459,542,123,694,813,805,019,136
  5. Step 5: Solve for x
    x = 459,542,123,694,813,805,019,136/315,055,676,195
  6. Step 6: Final answer
    x = 1,458,606,076,376.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.