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Finding the Third Proportional to 363,401,001,549 and 795,192,082,497

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Solution

The third proportional to 363,401,001,549 and 795,192,082,497 is: 1,740,034,962,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,401,001,549 : 795,192,082,497 = 795,192,082,497 : x
  2. Step 2: Convert to fraction form
    363,401,001,549/795,192,082,497 = 795,192,082,497/x
  3. Step 3: Cross multiply
    363,401,001,549x = 795,192,082,497 × 795,192,082,497
  4. Step 4: Simplify right side
    363,401,001,549x = 632,330,448,065,915,714,011,136
  5. Step 5: Solve for x
    x = 632,330,448,065,915,714,011,136/363,401,001,549
  6. Step 6: Final answer
    x = 1,740,034,962,398.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.