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Finding the Third Proportional to 461,138,561,258 and 1,014,503,221,845

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Solution

The third proportional to 461,138,561,258 and 1,014,503,221,845 is: 2,231,903,539,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,138,561,258 : 1,014,503,221,845 = 1,014,503,221,845 : x
  2. Step 2: Convert to fraction form
    461,138,561,258/1,014,503,221,845 = 1,014,503,221,845/x
  3. Step 3: Cross multiply
    461,138,561,258x = 1,014,503,221,845 × 1,014,503,221,845
  4. Step 4: Simplify right side
    461,138,561,258x = 1,029,216,787,133,885,342,285,824
  5. Step 5: Solve for x
    x = 1,029,216,787,133,885,342,285,824/461,138,561,258
  6. Step 6: Final answer
    x = 2,231,903,539,634.92

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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.