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Finding the Third Proportional to 315,055,676,192 and 677,895,363,376

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Solution

The third proportional to 315,055,676,192 and 677,895,363,376 is: 1,458,606,076,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,055,676,192 : 677,895,363,376 = 677,895,363,376 : x
  2. Step 2: Convert to fraction form
    315,055,676,192/677,895,363,376 = 677,895,363,376/x
  3. Step 3: Cross multiply
    315,055,676,192x = 677,895,363,376 × 677,895,363,376
  4. Step 4: Simplify right side
    315,055,676,192x = 459,542,123,686,679,069,851,648
  5. Step 5: Solve for x
    x = 459,542,123,686,679,069,851,648/315,055,676,192
  6. Step 6: Final answer
    x = 1,458,606,076,364.19

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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.