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Finding the Third Proportional to 799,105,380,363 and 1,864,643,658,378.80

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Solution

The third proportional to 799,105,380,363 and 1,864,643,658,378.80 is: 4,350,985,562,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,105,380,363 : 1,864,643,658,378.80 = 1,864,643,658,378.80 : x
  2. Step 2: Convert to fraction form
    799,105,380,363/1,864,643,658,378.80 = 1,864,643,658,378.80/x
  3. Step 3: Cross multiply
    799,105,380,363x = 1,864,643,658,378.80 × 1,864,643,658,378.80
  4. Step 4: Simplify right side
    799,105,380,363x = 3,476,895,972,732,275,066,404,864
  5. Step 5: Solve for x
    x = 3,476,895,972,732,275,066,404,864/799,105,380,363
  6. Step 6: Final answer
    x = 4,350,985,562,320.79

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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.