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Finding the Third Proportional to 9,534,757,410 and 20,526,716,574

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Solution

The third proportional to 9,534,757,410 and 20,526,716,574 is: 44,190,541,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534,757,410 : 20,526,716,574 = 20,526,716,574 : x
  2. Step 2: Convert to fraction form
    9,534,757,410/20,526,716,574 = 20,526,716,574/x
  3. Step 3: Cross multiply
    9,534,757,410x = 20,526,716,574 × 20,526,716,574
  4. Step 4: Simplify right side
    9,534,757,410x = 421,346,093,309,326,327,808
  5. Step 5: Solve for x
    x = 421,346,093,309,326,327,808/9,534,757,410
  6. Step 6: Final answer
    x = 44,190,541,530.45

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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.