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Finding the Third Proportional to 2,578,456,962 and 5,524,492,764.38

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Solution

The third proportional to 2,578,456,962 and 5,524,492,764.38 is: 11,836,544,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,456,962 : 5,524,492,764.38 = 5,524,492,764.38 : x
  2. Step 2: Convert to fraction form
    2,578,456,962/5,524,492,764.38 = 5,524,492,764.38/x
  3. Step 3: Cross multiply
    2,578,456,962x = 5,524,492,764.38 × 5,524,492,764.38
  4. Step 4: Simplify right side
    2,578,456,962x = 30,520,020,303,631,728,640
  5. Step 5: Solve for x
    x = 30,520,020,303,631,728,640/2,578,456,962
  6. Step 6: Final answer
    x = 11,836,544,395.90

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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.