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Finding the Third Proportional to 614,860,974 and 1,327,697,268

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Solution

The third proportional to 614,860,974 and 1,327,697,268 is: 2,866,957,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,860,974 : 1,327,697,268 = 1,327,697,268 : x
  2. Step 2: Convert to fraction form
    614,860,974/1,327,697,268 = 1,327,697,268/x
  3. Step 3: Cross multiply
    614,860,974x = 1,327,697,268 × 1,327,697,268
  4. Step 4: Simplify right side
    614,860,974x = 1,762,780,035,454,663,936
  5. Step 5: Solve for x
    x = 1,762,780,035,454,663,936/614,860,974
  6. Step 6: Final answer
    x = 2,866,957,100.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.