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Finding the Third Proportional to 1,146,760,792 and 1,770,836,898

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Solution

The third proportional to 1,146,760,792 and 1,770,836,898 is: 2,734,540,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,760,792 : 1,770,836,898 = 1,770,836,898 : x
  2. Step 2: Convert to fraction form
    1,146,760,792/1,770,836,898 = 1,770,836,898/x
  3. Step 3: Cross multiply
    1,146,760,792x = 1,770,836,898 × 1,770,836,898
  4. Step 4: Simplify right side
    1,146,760,792x = 3,135,863,319,318,262,272
  5. Step 5: Solve for x
    x = 3,135,863,319,318,262,272/1,146,760,792
  6. Step 6: Final answer
    x = 2,734,540,055.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.