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Finding the Third Proportional to 461,138,561,231 and 1,014,503,221,790

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Solution

The third proportional to 461,138,561,231 and 1,014,503,221,790 is: 2,231,903,539,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,138,561,231 : 1,014,503,221,790 = 1,014,503,221,790 : x
  2. Step 2: Convert to fraction form
    461,138,561,231/1,014,503,221,790 = 1,014,503,221,790/x
  3. Step 3: Cross multiply
    461,138,561,231x = 1,014,503,221,790 × 1,014,503,221,790
  4. Step 4: Simplify right side
    461,138,561,231x = 1,029,216,787,022,289,878,122,496
  5. Step 5: Solve for x
    x = 1,029,216,787,022,289,878,122,496/461,138,561,231
  6. Step 6: Final answer
    x = 2,231,903,539,523.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.