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Finding the Third Proportional to 517,860,218 and 1,109,177,392

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Solution

The third proportional to 517,860,218 and 1,109,177,392 is: 2,375,688,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,860,218 : 1,109,177,392 = 1,109,177,392 : x
  2. Step 2: Convert to fraction form
    517,860,218/1,109,177,392 = 1,109,177,392/x
  3. Step 3: Cross multiply
    517,860,218x = 1,109,177,392 × 1,109,177,392
  4. Step 4: Simplify right side
    517,860,218x = 1,230,274,486,923,921,664
  5. Step 5: Solve for x
    x = 1,230,274,486,923,921,664/517,860,218
  6. Step 6: Final answer
    x = 2,375,688,350.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.