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Finding the Third Proportional to 9,534,757,419 and 20,526,716,592

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Solution

The third proportional to 9,534,757,419 and 20,526,716,592 is: 44,190,541,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534,757,419 : 20,526,716,592 = 20,526,716,592 : x
  2. Step 2: Convert to fraction form
    9,534,757,419/20,526,716,592 = 20,526,716,592/x
  3. Step 3: Cross multiply
    9,534,757,419x = 20,526,716,592 × 20,526,716,592
  4. Step 4: Simplify right side
    9,534,757,419x = 421,346,094,048,288,112,640
  5. Step 5: Solve for x
    x = 421,346,094,048,288,112,640/9,534,757,419
  6. Step 6: Final answer
    x = 44,190,541,566.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.