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Finding the Third Proportional to 18,274,208,114 and 24,656,197,539

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Solution

The third proportional to 18,274,208,114 and 24,656,197,539 is: 33,266,999,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274,208,114 : 24,656,197,539 = 24,656,197,539 : x
  2. Step 2: Convert to fraction form
    18,274,208,114/24,656,197,539 = 24,656,197,539/x
  3. Step 3: Cross multiply
    18,274,208,114x = 24,656,197,539 × 24,656,197,539
  4. Step 4: Simplify right side
    18,274,208,114x = 607,928,077,082,189,627,392
  5. Step 5: Solve for x
    x = 607,928,077,082,189,627,392/18,274,208,114
  6. Step 6: Final answer
    x = 33,266,999,767.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.