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Finding the Third Proportional to 315,055,676,145 and 677,895,363,270

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Solution

The third proportional to 315,055,676,145 and 677,895,363,270 is: 1,458,606,076,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,055,676,145 : 677,895,363,270 = 677,895,363,270 : x
  2. Step 2: Convert to fraction form
    315,055,676,145/677,895,363,270 = 677,895,363,270/x
  3. Step 3: Cross multiply
    315,055,676,145x = 677,895,363,270 × 677,895,363,270
  4. Step 4: Simplify right side
    315,055,676,145x = 459,542,123,542,965,236,269,056
  5. Step 5: Solve for x
    x = 459,542,123,542,965,236,269,056/315,055,676,145
  6. Step 6: Final answer
    x = 1,458,606,076,125.63

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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.