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Finding the Third Proportional to 44,264,094,759 and 95,595,655,950

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Solution

The third proportional to 44,264,094,759 and 95,595,655,950 is: 206,454,678,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,264,094,759 : 95,595,655,950 = 95,595,655,950 : x
  2. Step 2: Convert to fraction form
    44,264,094,759/95,595,655,950 = 95,595,655,950/x
  3. Step 3: Cross multiply
    44,264,094,759x = 95,595,655,950 × 95,595,655,950
  4. Step 4: Simplify right side
    44,264,094,759x = 9,138,529,436,510,770,429,952
  5. Step 5: Solve for x
    x = 9,138,529,436,510,770,429,952/44,264,094,759
  6. Step 6: Final answer
    x = 206,454,678,137.36

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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.