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Finding the Third Proportional to 799,105,380,365 and 1,864,643,658,383

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Solution

The third proportional to 799,105,380,365 and 1,864,643,658,383 is: 4,350,985,562,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,105,380,365 : 1,864,643,658,383 = 1,864,643,658,383 : x
  2. Step 2: Convert to fraction form
    799,105,380,365/1,864,643,658,383 = 1,864,643,658,383/x
  3. Step 3: Cross multiply
    799,105,380,365x = 1,864,643,658,383 × 1,864,643,658,383
  4. Step 4: Simplify right side
    799,105,380,365x = 3,476,895,972,747,937,738,391,552
  5. Step 5: Solve for x
    x = 3,476,895,972,747,937,738,391,552/799,105,380,365
  6. Step 6: Final answer
    x = 4,350,985,562,329.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.