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Finding the Third Proportional to 204,413,063,370 and 447,295,546,407

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Solution

The third proportional to 204,413,063,370 and 447,295,546,407 is: 978,769,666,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,413,063,370 : 447,295,546,407 = 447,295,546,407 : x
  2. Step 2: Convert to fraction form
    204,413,063,370/447,295,546,407 = 447,295,546,407/x
  3. Step 3: Cross multiply
    204,413,063,370x = 447,295,546,407 × 447,295,546,407
  4. Step 4: Simplify right side
    204,413,063,370x = 200,073,305,835,536,679,698,432
  5. Step 5: Solve for x
    x = 200,073,305,835,536,679,698,432/204,413,063,370
  6. Step 6: Final answer
    x = 978,769,666,366.15

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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.