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Finding the Third Proportional to 172,673,348,562 and 385,049,895,830

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Solution

The third proportional to 172,673,348,562 and 385,049,895,830 is: 858,635,241,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,673,348,562 : 385,049,895,830 = 385,049,895,830 : x
  2. Step 2: Convert to fraction form
    172,673,348,562/385,049,895,830 = 385,049,895,830/x
  3. Step 3: Cross multiply
    172,673,348,562x = 385,049,895,830 × 385,049,895,830
  4. Step 4: Simplify right side
    172,673,348,562x = 148,263,422,278,693,843,632,128
  5. Step 5: Solve for x
    x = 148,263,422,278,693,843,632,128/172,673,348,562
  6. Step 6: Final answer
    x = 858,635,241,126.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.