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Finding the Third Proportional to 204,413,063,409 and 447,295,546,498

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Solution

The third proportional to 204,413,063,409 and 447,295,546,498 is: 978,769,666,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,413,063,409 : 447,295,546,498 = 447,295,546,498 : x
  2. Step 2: Convert to fraction form
    204,413,063,409/447,295,546,498 = 447,295,546,498/x
  3. Step 3: Cross multiply
    204,413,063,409x = 447,295,546,498 × 447,295,546,498
  4. Step 4: Simplify right side
    204,413,063,409x = 200,073,305,916,944,496,459,776
  5. Step 5: Solve for x
    x = 200,073,305,916,944,496,459,776/204,413,063,409
  6. Step 6: Final answer
    x = 978,769,666,577.66

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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.