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Finding the Third Proportional to 606,755,011,593 and 1,320,323,347,315

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Solution

The third proportional to 606,755,011,593 and 1,320,323,347,315 is: 2,873,076,790,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,755,011,593 : 1,320,323,347,315 = 1,320,323,347,315 : x
  2. Step 2: Convert to fraction form
    606,755,011,593/1,320,323,347,315 = 1,320,323,347,315/x
  3. Step 3: Cross multiply
    606,755,011,593x = 1,320,323,347,315 × 1,320,323,347,315
  4. Step 4: Simplify right side
    606,755,011,593x = 1,743,253,741,465,086,107,582,464
  5. Step 5: Solve for x
    x = 1,743,253,741,465,086,107,582,464/606,755,011,593
  6. Step 6: Final answer
    x = 2,873,076,790,726.91

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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.