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Finding the Third Proportional to 75,204,627,917 and 113,774,176,436

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Solution

The third proportional to 75,204,627,917 and 113,774,176,436 is: 172,124,556,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,204,627,917 : 113,774,176,436 = 113,774,176,436 : x
  2. Step 2: Convert to fraction form
    75,204,627,917/113,774,176,436 = 113,774,176,436/x
  3. Step 3: Cross multiply
    75,204,627,917x = 113,774,176,436 × 113,774,176,436
  4. Step 4: Simplify right side
    75,204,627,917x = 12,944,563,223,690,058,137,600
  5. Step 5: Solve for x
    x = 12,944,563,223,690,058,137,600/75,204,627,917
  6. Step 6: Final answer
    x = 172,124,556,456.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.