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Finding the Third Proportional to 351,406,918,655.43 and 494,858,377,383.75

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Solution

The third proportional to 351,406,918,655.43 and 494,858,377,383.75 is: 696,869,642,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,406,918,655.43 : 494,858,377,383.75 = 494,858,377,383.75 : x
  2. Step 2: Convert to fraction form
    351,406,918,655.43/494,858,377,383.75 = 494,858,377,383.75/x
  3. Step 3: Cross multiply
    351,406,918,655.43x = 494,858,377,383.75 × 494,858,377,383.75
  4. Step 4: Simplify right side
    351,406,918,655.43x = 244,884,813,666,877,924,442,112
  5. Step 5: Solve for x
    x = 244,884,813,666,877,924,442,112/351,406,918,655.43
  6. Step 6: Final answer
    x = 696,869,642,191.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.