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Finding the Third Proportional to 315,055,676,194 and 677,895,363,380

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Solution

The third proportional to 315,055,676,194 and 677,895,363,380 is: 1,458,606,076,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,055,676,194 : 677,895,363,380 = 677,895,363,380 : x
  2. Step 2: Convert to fraction form
    315,055,676,194/677,895,363,380 = 677,895,363,380/x
  3. Step 3: Cross multiply
    315,055,676,194x = 677,895,363,380 × 677,895,363,380
  4. Step 4: Simplify right side
    315,055,676,194x = 459,542,123,692,102,271,369,216
  5. Step 5: Solve for x
    x = 459,542,123,692,102,271,369,216/315,055,676,194
  6. Step 6: Final answer
    x = 1,458,606,076,372.14

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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.