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Finding the Third Proportional to 1,770,288,492 and 3,860,957,898

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Solution

The third proportional to 1,770,288,492 and 3,860,957,898 is: 8,420,659,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,288,492 : 3,860,957,898 = 3,860,957,898 : x
  2. Step 2: Convert to fraction form
    1,770,288,492/3,860,957,898 = 3,860,957,898/x
  3. Step 3: Cross multiply
    1,770,288,492x = 3,860,957,898 × 3,860,957,898
  4. Step 4: Simplify right side
    1,770,288,492x = 14,906,995,890,128,578,560
  5. Step 5: Solve for x
    x = 14,906,995,890,128,578,560/1,770,288,492
  6. Step 6: Final answer
    x = 8,420,659,094.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.