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Finding the Third Proportional to 511,918,789.50 and 773,258,046.75

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Solution

The third proportional to 511,918,789.50 and 773,258,046.75 is: 1,168,013,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,918,789.50 : 773,258,046.75 = 773,258,046.75 : x
  2. Step 2: Convert to fraction form
    511,918,789.50/773,258,046.75 = 773,258,046.75/x
  3. Step 3: Cross multiply
    511,918,789.50x = 773,258,046.75 × 773,258,046.75
  4. Step 4: Simplify right side
    511,918,789.50x = 597,928,006,863,625,216
  5. Step 5: Solve for x
    x = 597,928,006,863,625,216/511,918,789.50
  6. Step 6: Final answer
    x = 1,168,013,401.98

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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.